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Finding the Fourth Proportional to 25,382.76, 38,078.22 and 8,738.70

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Solution

The fourth proportional to 25,382.76, 38,078.22 and 8,738.70 is: 13,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.76 : 38,078.22 = 8,738.70 : x
  2. Step 2: Convert to fraction form
    25,382.76/38,078.22 = 8,738.70/x
  3. Step 3: Cross multiply
    25,382.76x = 38,078.22 × 8,738.70
  4. Step 4: Simplify right side
    25,382.76x = 332,754,141.11
  5. Step 5: Solve for x
    x = 332,754,141.11/25,382.76
  6. Step 6: Final answer
    x = 13,109.45

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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.