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Finding the Fourth Proportional to 22,859.24, 31,542.60 and 12,787.16

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Solution

The fourth proportional to 22,859.24, 31,542.60 and 12,787.16 is: 17,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.24 : 31,542.60 = 12,787.16 : x
  2. Step 2: Convert to fraction form
    22,859.24/31,542.60 = 12,787.16/x
  3. Step 3: Cross multiply
    22,859.24x = 31,542.60 × 12,787.16
  4. Step 4: Simplify right side
    22,859.24x = 403,340,273.02
  5. Step 5: Solve for x
    x = 403,340,273.02/22,859.24
  6. Step 6: Final answer
    x = 17,644.52

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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.