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Finding the Fourth Proportional to 16,781.64, 25,162.65 and 6,909.78

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Solution

The fourth proportional to 16,781.64, 25,162.65 and 6,909.78 is: 10,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.64 : 25,162.65 = 6,909.78 : x
  2. Step 2: Convert to fraction form
    16,781.64/25,162.65 = 6,909.78/x
  3. Step 3: Cross multiply
    16,781.64x = 25,162.65 × 6,909.78
  4. Step 4: Simplify right side
    16,781.64x = 173,868,375.72
  5. Step 5: Solve for x
    x = 173,868,375.72/16,781.64
  6. Step 6: Final answer
    x = 10,360.63

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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.