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Finding the Fourth Proportional to 25,836.57, 35,654.99 and 20,177.91

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Solution

The fourth proportional to 25,836.57, 35,654.99 and 20,177.91 is: 27,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836.57 : 35,654.99 = 20,177.91 : x
  2. Step 2: Convert to fraction form
    25,836.57/35,654.99 = 20,177.91/x
  3. Step 3: Cross multiply
    25,836.57x = 35,654.99 × 20,177.91
  4. Step 4: Simplify right side
    25,836.57x = 719,443,078.38
  5. Step 5: Solve for x
    x = 719,443,078.38/25,836.57
  6. Step 6: Final answer
    x = 27,845.92

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Why These Related Problems?

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