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Finding the Fourth Proportional to 15,591.96, 23,387.24 and 5,730.53

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Solution

The fourth proportional to 15,591.96, 23,387.24 and 5,730.53 is: 8,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.96 : 23,387.24 = 5,730.53 : x
  2. Step 2: Convert to fraction form
    15,591.96/23,387.24 = 5,730.53/x
  3. Step 3: Cross multiply
    15,591.96x = 23,387.24 × 5,730.53
  4. Step 4: Simplify right side
    15,591.96x = 134,021,134.85
  5. Step 5: Solve for x
    x = 134,021,134.85/15,591.96
  6. Step 6: Final answer
    x = 8,595.53

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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.