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Finding the Fourth Proportional to 16,642.71, 24,950.82 and 9,614.73

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Solution

The fourth proportional to 16,642.71, 24,950.82 and 9,614.73 is: 14,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.71 : 24,950.82 = 9,614.73 : x
  2. Step 2: Convert to fraction form
    16,642.71/24,950.82 = 9,614.73/x
  3. Step 3: Cross multiply
    16,642.71x = 24,950.82 × 9,614.73
  4. Step 4: Simplify right side
    16,642.71x = 239,895,397.58
  5. Step 5: Solve for x
    x = 239,895,397.58/16,642.71
  6. Step 6: Final answer
    x = 14,414.44

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1.5x scale

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.