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Finding the Fourth Proportional to 22,293.93, 30,768.76 and 13,798.78

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Solution

The fourth proportional to 22,293.93, 30,768.76 and 13,798.78 is: 19,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,293.93 : 30,768.76 = 13,798.78 : x
  2. Step 2: Convert to fraction form
    22,293.93/30,768.76 = 13,798.78/x
  3. Step 3: Cross multiply
    22,293.93x = 30,768.76 × 13,798.78
  4. Step 4: Simplify right side
    22,293.93x = 424,571,350.11
  5. Step 5: Solve for x
    x = 424,571,350.11/22,293.93
  6. Step 6: Final answer
    x = 19,044.26

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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.