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Finding the Fourth Proportional to 16,441.80, 24,668.92 and 9,872.57

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Solution

The fourth proportional to 16,441.80, 24,668.92 and 9,872.57 is: 14,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.80 : 24,668.92 = 9,872.57 : x
  2. Step 2: Convert to fraction form
    16,441.80/24,668.92 = 9,872.57/x
  3. Step 3: Cross multiply
    16,441.80x = 24,668.92 × 9,872.57
  4. Step 4: Simplify right side
    16,441.80x = 243,545,639.52
  5. Step 5: Solve for x
    x = 243,545,639.52/16,441.80
  6. Step 6: Final answer
    x = 14,812.59

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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.