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Finding the Fourth Proportional to 25,517.50, 38,278.41 and 7,049.50

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Solution

The fourth proportional to 25,517.50, 38,278.41 and 7,049.50 is: 10,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517.50 : 38,278.41 = 7,049.50 : x
  2. Step 2: Convert to fraction form
    25,517.50/38,278.41 = 7,049.50/x
  3. Step 3: Cross multiply
    25,517.50x = 38,278.41 × 7,049.50
  4. Step 4: Simplify right side
    25,517.50x = 269,843,651.30
  5. Step 5: Solve for x
    x = 269,843,651.30/25,517.50
  6. Step 6: Final answer
    x = 10,574.85

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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.