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Finding the Fourth Proportional to 25,500.68, 38,250.97 and 6,780.72

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Solution

The fourth proportional to 25,500.68, 38,250.97 and 6,780.72 is: 10,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.68 : 38,250.97 = 6,780.72 : x
  2. Step 2: Convert to fraction form
    25,500.68/38,250.97 = 6,780.72/x
  3. Step 3: Cross multiply
    25,500.68x = 38,250.97 × 6,780.72
  4. Step 4: Simplify right side
    25,500.68x = 259,369,028.63
  5. Step 5: Solve for x
    x = 259,369,028.63/25,500.68
  6. Step 6: Final answer
    x = 10,171.06

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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.