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Finding the Fourth Proportional to 25,489.61, 35,174.52 and 14,159.89

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Solution

The fourth proportional to 25,489.61, 35,174.52 and 14,159.89 is: 19,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.61 : 35,174.52 = 14,159.89 : x
  2. Step 2: Convert to fraction form
    25,489.61/35,174.52 = 14,159.89/x
  3. Step 3: Cross multiply
    25,489.61x = 35,174.52 × 14,159.89
  4. Step 4: Simplify right side
    25,489.61x = 498,067,377.97
  5. Step 5: Solve for x
    x = 498,067,377.97/25,489.61
  6. Step 6: Final answer
    x = 19,540.02

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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.