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Finding the Fourth Proportional to 20,853.55, 31,251.16 and 9,732.65

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Solution

The fourth proportional to 20,853.55, 31,251.16 and 9,732.65 is: 14,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.55 : 31,251.16 = 9,732.65 : x
  2. Step 2: Convert to fraction form
    20,853.55/31,251.16 = 9,732.65/x
  3. Step 3: Cross multiply
    20,853.55x = 31,251.16 × 9,732.65
  4. Step 4: Simplify right side
    20,853.55x = 304,156,553.71
  5. Step 5: Solve for x
    x = 304,156,553.71/20,853.55
  6. Step 6: Final answer
    x = 14,585.36

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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.