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Finding the Fourth Proportional to 25,902.75, 38,853.22 and 8,372.13

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Solution

The fourth proportional to 25,902.75, 38,853.22 and 8,372.13 is: 12,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.75 : 38,853.22 = 8,372.13 : x
  2. Step 2: Convert to fraction form
    25,902.75/38,853.22 = 8,372.13/x
  3. Step 3: Cross multiply
    25,902.75x = 38,853.22 × 8,372.13
  4. Step 4: Simplify right side
    25,902.75x = 325,284,208.76
  5. Step 5: Solve for x
    x = 325,284,208.76/25,902.75
  6. Step 6: Final answer
    x = 12,557.90

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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.