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Finding the Fourth Proportional to 25,754.58, 38,649.20 and 9,114.56

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Solution

The fourth proportional to 25,754.58, 38,649.20 and 9,114.56 is: 13,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.58 : 38,649.20 = 9,114.56 : x
  2. Step 2: Convert to fraction form
    25,754.58/38,649.20 = 9,114.56/x
  3. Step 3: Cross multiply
    25,754.58x = 38,649.20 × 9,114.56
  4. Step 4: Simplify right side
    25,754.58x = 352,270,452.35
  5. Step 5: Solve for x
    x = 352,270,452.35/25,754.58
  6. Step 6: Final answer
    x = 13,677.97

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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.