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Finding the Fourth Proportional to 22,164.54, 30,592.03 and 13,216.97

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Solution

The fourth proportional to 22,164.54, 30,592.03 and 13,216.97 is: 18,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.54 : 30,592.03 = 13,216.97 : x
  2. Step 2: Convert to fraction form
    22,164.54/30,592.03 = 13,216.97/x
  3. Step 3: Cross multiply
    22,164.54x = 30,592.03 × 13,216.97
  4. Step 4: Simplify right side
    22,164.54x = 404,334,010.97
  5. Step 5: Solve for x
    x = 404,334,010.97/22,164.54
  6. Step 6: Final answer
    x = 18,242.39

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.