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Finding the Fourth Proportional to 22,462.76, 30,970.68 and 17,149.16

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Solution

The fourth proportional to 22,462.76, 30,970.68 and 17,149.16 is: 23,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.76 : 30,970.68 = 17,149.16 : x
  2. Step 2: Convert to fraction form
    22,462.76/30,970.68 = 17,149.16/x
  3. Step 3: Cross multiply
    22,462.76x = 30,970.68 × 17,149.16
  4. Step 4: Simplify right side
    22,462.76x = 531,121,146.63
  5. Step 5: Solve for x
    x = 531,121,146.63/22,462.76
  6. Step 6: Final answer
    x = 23,644.52

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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.