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Finding the Fourth Proportional to 16,527.57, 24,766.74 and 9,134.15

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Solution

The fourth proportional to 16,527.57, 24,766.74 and 9,134.15 is: 13,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.57 : 24,766.74 = 9,134.15 : x
  2. Step 2: Convert to fraction form
    16,527.57/24,766.74 = 9,134.15/x
  3. Step 3: Cross multiply
    16,527.57x = 24,766.74 × 9,134.15
  4. Step 4: Simplify right side
    16,527.57x = 226,223,118.17
  5. Step 5: Solve for x
    x = 226,223,118.17/16,527.57
  6. Step 6: Final answer
    x = 13,687.62

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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.