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Finding the Fourth Proportional to 15,591.30, 23,399.40 and 8,200.14

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Solution

The fourth proportional to 15,591.30, 23,399.40 and 8,200.14 is: 12,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.30 : 23,399.40 = 8,200.14 : x
  2. Step 2: Convert to fraction form
    15,591.30/23,399.40 = 8,200.14/x
  3. Step 3: Cross multiply
    15,591.30x = 23,399.40 × 8,200.14
  4. Step 4: Simplify right side
    15,591.30x = 191,878,355.92
  5. Step 5: Solve for x
    x = 191,878,355.92/15,591.30
  6. Step 6: Final answer
    x = 12,306.76

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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.