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Finding the Fourth Proportional to 25,599.92, 38,404.42 and 8,732

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Solution

The fourth proportional to 25,599.92, 38,404.42 and 8,732 is: 13,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,599.92 : 38,404.42 = 8,732 : x
  2. Step 2: Convert to fraction form
    25,599.92/38,404.42 = 8,732/x
  3. Step 3: Cross multiply
    25,599.92x = 38,404.42 × 8,732
  4. Step 4: Simplify right side
    25,599.92x = 335,347,395.44
  5. Step 5: Solve for x
    x = 335,347,395.44/25,599.92
  6. Step 6: Final answer
    x = 13,099.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.