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Finding the Fourth Proportional to 16,310.16, 22,505.82 and 9,591.90

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Solution

The fourth proportional to 16,310.16, 22,505.82 and 9,591.90 is: 13,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.16 : 22,505.82 = 9,591.90 : x
  2. Step 2: Convert to fraction form
    16,310.16/22,505.82 = 9,591.90/x
  3. Step 3: Cross multiply
    16,310.16x = 22,505.82 × 9,591.90
  4. Step 4: Simplify right side
    16,310.16x = 215,873,574.86
  5. Step 5: Solve for x
    x = 215,873,574.86/16,310.16
  6. Step 6: Final answer
    x = 13,235.53

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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.