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Finding the Fourth Proportional to 25,770.80, 38,662.26 and 8,000.55

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Solution

The fourth proportional to 25,770.80, 38,662.26 and 8,000.55 is: 12,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770.80 : 38,662.26 = 8,000.55 : x
  2. Step 2: Convert to fraction form
    25,770.80/38,662.26 = 8,000.55/x
  3. Step 3: Cross multiply
    25,770.80x = 38,662.26 × 8,000.55
  4. Step 4: Simplify right side
    25,770.80x = 309,319,344.24
  5. Step 5: Solve for x
    x = 309,319,344.24/25,770.80
  6. Step 6: Final answer
    x = 12,002.71

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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.