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Finding the Fourth Proportional to 23,542.14, 32,488.39 and 12,787.12

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Solution

The fourth proportional to 23,542.14, 32,488.39 and 12,787.12 is: 17,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.14 : 32,488.39 = 12,787.12 : x
  2. Step 2: Convert to fraction form
    23,542.14/32,488.39 = 12,787.12/x
  3. Step 3: Cross multiply
    23,542.14x = 32,488.39 × 12,787.12
  4. Step 4: Simplify right side
    23,542.14x = 415,432,900.28
  5. Step 5: Solve for x
    x = 415,432,900.28/23,542.14
  6. Step 6: Final answer
    x = 17,646.35

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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.