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Finding the Fourth Proportional to 16,527.57, 24,766.74 and 9,134.14

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Solution

The fourth proportional to 16,527.57, 24,766.74 and 9,134.14 is: 13,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.57 : 24,766.74 = 9,134.14 : x
  2. Step 2: Convert to fraction form
    16,527.57/24,766.74 = 9,134.14/x
  3. Step 3: Cross multiply
    16,527.57x = 24,766.74 × 9,134.14
  4. Step 4: Simplify right side
    16,527.57x = 226,222,870.50
  5. Step 5: Solve for x
    x = 226,222,870.50/16,527.57
  6. Step 6: Final answer
    x = 13,687.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.