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Finding the Fourth Proportional to 25,909.68, 38,872.70 and 9,269.32

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Solution

The fourth proportional to 25,909.68, 38,872.70 and 9,269.32 is: 13,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.68 : 38,872.70 = 9,269.32 : x
  2. Step 2: Convert to fraction form
    25,909.68/38,872.70 = 9,269.32/x
  3. Step 3: Cross multiply
    25,909.68x = 38,872.70 × 9,269.32
  4. Step 4: Simplify right side
    25,909.68x = 360,323,495.56
  5. Step 5: Solve for x
    x = 360,323,495.56/25,909.68
  6. Step 6: Final answer
    x = 13,906.91

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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.