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Finding the Fourth Proportional to 21,257.52, 31,842.52 and 12,471.24

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Solution

The fourth proportional to 21,257.52, 31,842.52 and 12,471.24 is: 18,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.52 : 31,842.52 = 12,471.24 : x
  2. Step 2: Convert to fraction form
    21,257.52/31,842.52 = 12,471.24/x
  3. Step 3: Cross multiply
    21,257.52x = 31,842.52 × 12,471.24
  4. Step 4: Simplify right side
    21,257.52x = 397,115,709.12
  5. Step 5: Solve for x
    x = 397,115,709.12/21,257.52
  6. Step 6: Final answer
    x = 18,681.19

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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.