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Finding the Fourth Proportional to 22,807.28, 31,470.10 and 12,735.20

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Solution

The fourth proportional to 22,807.28, 31,470.10 and 12,735.20 is: 17,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.28 : 31,470.10 = 12,735.20 : x
  2. Step 2: Convert to fraction form
    22,807.28/31,470.10 = 12,735.20/x
  3. Step 3: Cross multiply
    22,807.28x = 31,470.10 × 12,735.20
  4. Step 4: Simplify right side
    22,807.28x = 400,778,017.52
  5. Step 5: Solve for x
    x = 400,778,017.52/22,807.28
  6. Step 6: Final answer
    x = 17,572.37

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