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Finding the Fourth Proportional to 25,536.74, 38,311.25 and 8,006.55

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Solution

The fourth proportional to 25,536.74, 38,311.25 and 8,006.55 is: 12,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.74 : 38,311.25 = 8,006.55 : x
  2. Step 2: Convert to fraction form
    25,536.74/38,311.25 = 8,006.55/x
  3. Step 3: Cross multiply
    25,536.74x = 38,311.25 × 8,006.55
  4. Step 4: Simplify right side
    25,536.74x = 306,740,754.99
  5. Step 5: Solve for x
    x = 306,740,754.99/25,536.74
  6. Step 6: Final answer
    x = 12,011.75

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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.