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Finding the Fourth Proportional to 25,642.26, 38,465.82 and 15,760.26

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Solution

The fourth proportional to 25,642.26, 38,465.82 and 15,760.26 is: 23,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.26 : 38,465.82 = 15,760.26 : x
  2. Step 2: Convert to fraction form
    25,642.26/38,465.82 = 15,760.26/x
  3. Step 3: Cross multiply
    25,642.26x = 38,465.82 × 15,760.26
  4. Step 4: Simplify right side
    25,642.26x = 606,231,324.31
  5. Step 5: Solve for x
    x = 606,231,324.31/25,642.26
  6. Step 6: Final answer
    x = 23,641.88

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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.