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Finding the Fourth Proportional to 20,866.52, 31,268.34 and 12,537.40

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Solution

The fourth proportional to 20,866.52, 31,268.34 and 12,537.40 is: 18,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.52 : 31,268.34 = 12,537.40 : x
  2. Step 2: Convert to fraction form
    20,866.52/31,268.34 = 12,537.40/x
  3. Step 3: Cross multiply
    20,866.52x = 31,268.34 × 12,537.40
  4. Step 4: Simplify right side
    20,866.52x = 392,023,685.92
  5. Step 5: Solve for x
    x = 392,023,685.92/20,866.52
  6. Step 6: Final answer
    x = 18,787.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.