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Finding the Fourth Proportional to 25,780.32, 38,672.52 and 8,250.15

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Solution

The fourth proportional to 25,780.32, 38,672.52 and 8,250.15 is: 12,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.32 : 38,672.52 = 8,250.15 : x
  2. Step 2: Convert to fraction form
    25,780.32/38,672.52 = 8,250.15/x
  3. Step 3: Cross multiply
    25,780.32x = 38,672.52 × 8,250.15
  4. Step 4: Simplify right side
    25,780.32x = 319,054,090.88
  5. Step 5: Solve for x
    x = 319,054,090.88/25,780.32
  6. Step 6: Final answer
    x = 12,375.88

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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.