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Finding the Fourth Proportional to 16,159.90, 24,240.42 and 4,474

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Solution

The fourth proportional to 16,159.90, 24,240.42 and 4,474 is: 6,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.90 : 24,240.42 = 4,474 : x
  2. Step 2: Convert to fraction form
    16,159.90/24,240.42 = 4,474/x
  3. Step 3: Cross multiply
    16,159.90x = 24,240.42 × 4,474
  4. Step 4: Simplify right side
    16,159.90x = 108,451,639.08
  5. Step 5: Solve for x
    x = 108,451,639.08/16,159.90
  6. Step 6: Final answer
    x = 6,711.16

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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.