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Finding the Fourth Proportional to 16,375.70, 24,565.14 and 6,512.81

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Solution

The fourth proportional to 16,375.70, 24,565.14 and 6,512.81 is: 9,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.70 : 24,565.14 = 6,512.81 : x
  2. Step 2: Convert to fraction form
    16,375.70/24,565.14 = 6,512.81/x
  3. Step 3: Cross multiply
    16,375.70x = 24,565.14 × 6,512.81
  4. Step 4: Simplify right side
    16,375.70x = 159,987,966.62
  5. Step 5: Solve for x
    x = 159,987,966.62/16,375.70
  6. Step 6: Final answer
    x = 9,769.84

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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.