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Finding the Fourth Proportional to 25,911.39, 38,872.76 and 8,380.97

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Solution

The fourth proportional to 25,911.39, 38,872.76 and 8,380.97 is: 12,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.39 : 38,872.76 = 8,380.97 : x
  2. Step 2: Convert to fraction form
    25,911.39/38,872.76 = 8,380.97/x
  3. Step 3: Cross multiply
    25,911.39x = 38,872.76 × 8,380.97
  4. Step 4: Simplify right side
    25,911.39x = 325,791,199.11
  5. Step 5: Solve for x
    x = 325,791,199.11/25,911.39
  6. Step 6: Final answer
    x = 12,573.28

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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.