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Finding the Fourth Proportional to 25,882.29, 35,716.41 and 15,827.58

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Solution

The fourth proportional to 25,882.29, 35,716.41 and 15,827.58 is: 21,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.29 : 35,716.41 = 15,827.58 : x
  2. Step 2: Convert to fraction form
    25,882.29/35,716.41 = 15,827.58/x
  3. Step 3: Cross multiply
    25,882.29x = 35,716.41 × 15,827.58
  4. Step 4: Simplify right side
    25,882.29x = 565,304,336.59
  5. Step 5: Solve for x
    x = 565,304,336.59/25,882.29
  6. Step 6: Final answer
    x = 21,841.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.