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Finding the Fourth Proportional to 23,542.29, 32,488.79 and 12,787.16

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Solution

The fourth proportional to 23,542.29, 32,488.79 and 12,787.16 is: 17,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.29 : 32,488.79 = 12,787.16 : x
  2. Step 2: Convert to fraction form
    23,542.29/32,488.79 = 12,787.16/x
  3. Step 3: Cross multiply
    23,542.29x = 32,488.79 × 12,787.16
  4. Step 4: Simplify right side
    23,542.29x = 415,439,129.56
  5. Step 5: Solve for x
    x = 415,439,129.56/23,542.29
  6. Step 6: Final answer
    x = 17,646.50

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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.