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Finding the Fourth Proportional to 15,732.14, 23,604.36 and 5,869.11

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Solution

The fourth proportional to 15,732.14, 23,604.36 and 5,869.11 is: 8,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.14 : 23,604.36 = 5,869.11 : x
  2. Step 2: Convert to fraction form
    15,732.14/23,604.36 = 5,869.11/x
  3. Step 3: Cross multiply
    15,732.14x = 23,604.36 × 5,869.11
  4. Step 4: Simplify right side
    15,732.14x = 138,536,585.32
  5. Step 5: Solve for x
    x = 138,536,585.32/15,732.14
  6. Step 6: Final answer
    x = 8,805.96

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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.