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Finding the Fourth Proportional to 25,957.46, 35,822.62 and 15,882.74

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Solution

The fourth proportional to 25,957.46, 35,822.62 and 15,882.74 is: 21,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,957.46 : 35,822.62 = 15,882.74 : x
  2. Step 2: Convert to fraction form
    25,957.46/35,822.62 = 15,882.74/x
  3. Step 3: Cross multiply
    25,957.46x = 35,822.62 × 15,882.74
  4. Step 4: Simplify right side
    25,957.46x = 568,961,359.58
  5. Step 5: Solve for x
    x = 568,961,359.58/25,957.46
  6. Step 6: Final answer
    x = 21,918.99

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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.