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Finding the Fourth Proportional to 10,233.29, 15,327.42 and 8,458.17

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Solution

The fourth proportional to 10,233.29, 15,327.42 and 8,458.17 is: 12,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.29 : 15,327.42 = 8,458.17 : x
  2. Step 2: Convert to fraction form
    10,233.29/15,327.42 = 8,458.17/x
  3. Step 3: Cross multiply
    10,233.29x = 15,327.42 × 8,458.17
  4. Step 4: Simplify right side
    10,233.29x = 129,641,924.02
  5. Step 5: Solve for x
    x = 129,641,924.02/10,233.29
  6. Step 6: Final answer
    x = 12,668.65

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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.