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Finding the Fourth Proportional to 25,825.68, 38,730.24 and 8,291.28

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Solution

The fourth proportional to 25,825.68, 38,730.24 and 8,291.28 is: 12,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.68 : 38,730.24 = 8,291.28 : x
  2. Step 2: Convert to fraction form
    25,825.68/38,730.24 = 8,291.28/x
  3. Step 3: Cross multiply
    25,825.68x = 38,730.24 × 8,291.28
  4. Step 4: Simplify right side
    25,825.68x = 321,123,264.31
  5. Step 5: Solve for x
    x = 321,123,264.31/25,825.68
  6. Step 6: Final answer
    x = 12,434.26

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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.