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Finding the Fourth Proportional to 25,592.74, 38,375.74 and 8,057.86

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Solution

The fourth proportional to 25,592.74, 38,375.74 and 8,057.86 is: 12,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,592.74 : 38,375.74 = 8,057.86 : x
  2. Step 2: Convert to fraction form
    25,592.74/38,375.74 = 8,057.86/x
  3. Step 3: Cross multiply
    25,592.74x = 38,375.74 × 8,057.86
  4. Step 4: Simplify right side
    25,592.74x = 309,226,340.32
  5. Step 5: Solve for x
    x = 309,226,340.32/25,592.74
  6. Step 6: Final answer
    x = 12,082.58

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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.