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Finding the Fourth Proportional to 16,131.76, 22,264.24 and 9,847.78

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Solution

The fourth proportional to 16,131.76, 22,264.24 and 9,847.78 is: 13,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.76 : 22,264.24 = 9,847.78 : x
  2. Step 2: Convert to fraction form
    16,131.76/22,264.24 = 9,847.78/x
  3. Step 3: Cross multiply
    16,131.76x = 22,264.24 × 9,847.78
  4. Step 4: Simplify right side
    16,131.76x = 219,253,337.39
  5. Step 5: Solve for x
    x = 219,253,337.39/16,131.76
  6. Step 6: Final answer
    x = 13,591.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.