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Finding the Fourth Proportional to 16,375.87, 24,546.14 and 7,924.52

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Solution

The fourth proportional to 16,375.87, 24,546.14 and 7,924.52 is: 11,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.87 : 24,546.14 = 7,924.52 : x
  2. Step 2: Convert to fraction form
    16,375.87/24,546.14 = 7,924.52/x
  3. Step 3: Cross multiply
    16,375.87x = 24,546.14 × 7,924.52
  4. Step 4: Simplify right side
    16,375.87x = 194,516,335.32
  5. Step 5: Solve for x
    x = 194,516,335.32/16,375.87
  6. Step 6: Final answer
    x = 11,878.23

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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.