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Finding the Fourth Proportional to 16,310.15, 22,499.78 and 9,591.50

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Solution

The fourth proportional to 16,310.15, 22,499.78 and 9,591.50 is: 13,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.15 : 22,499.78 = 9,591.50 : x
  2. Step 2: Convert to fraction form
    16,310.15/22,499.78 = 9,591.50/x
  3. Step 3: Cross multiply
    16,310.15x = 22,499.78 × 9,591.50
  4. Step 4: Simplify right side
    16,310.15x = 215,806,479.41
  5. Step 5: Solve for x
    x = 215,806,479.41/16,310.15
  6. Step 6: Final answer
    x = 13,231.43

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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.