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Finding the Fourth Proportional to 22,585.50, 31,167.99 and 13,753.50

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Solution

The fourth proportional to 22,585.50, 31,167.99 and 13,753.50 is: 18,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.50 : 31,167.99 = 13,753.50 : x
  2. Step 2: Convert to fraction form
    22,585.50/31,167.99 = 13,753.50/x
  3. Step 3: Cross multiply
    22,585.50x = 31,167.99 × 13,753.50
  4. Step 4: Simplify right side
    22,585.50x = 428,668,950.47
  5. Step 5: Solve for x
    x = 428,668,950.47/22,585.50
  6. Step 6: Final answer
    x = 18,979.83

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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.