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Finding the Fourth Proportional to 25,602.56, 38,414.96 and 8,974.48

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Solution

The fourth proportional to 25,602.56, 38,414.96 and 8,974.48 is: 13,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.56 : 38,414.96 = 8,974.48 : x
  2. Step 2: Convert to fraction form
    25,602.56/38,414.96 = 8,974.48/x
  3. Step 3: Cross multiply
    25,602.56x = 38,414.96 × 8,974.48
  4. Step 4: Simplify right side
    25,602.56x = 344,754,290.22
  5. Step 5: Solve for x
    x = 344,754,290.22/25,602.56
  6. Step 6: Final answer
    x = 13,465.62

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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.