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Finding the Fourth Proportional to 15,924.31, 23,896.07 and 5,543.35

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Solution

The fourth proportional to 15,924.31, 23,896.07 and 5,543.35 is: 8,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.31 : 23,896.07 = 5,543.35 : x
  2. Step 2: Convert to fraction form
    15,924.31/23,896.07 = 5,543.35/x
  3. Step 3: Cross multiply
    15,924.31x = 23,896.07 × 5,543.35
  4. Step 4: Simplify right side
    15,924.31x = 132,464,251.92
  5. Step 5: Solve for x
    x = 132,464,251.92/15,924.31
  6. Step 6: Final answer
    x = 8,318.37

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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.