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Finding the Fourth Proportional to 25,019, 34,512.57 and 16,067.87

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Solution

The fourth proportional to 25,019, 34,512.57 and 16,067.87 is: 22,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,019 : 34,512.57 = 16,067.87 : x
  2. Step 2: Convert to fraction form
    25,019/34,512.57 = 16,067.87/x
  3. Step 3: Cross multiply
    25,019x = 34,512.57 × 16,067.87
  4. Step 4: Simplify right side
    25,019x = 554,543,488.13
  5. Step 5: Solve for x
    x = 554,543,488.13/25,019
  6. Step 6: Final answer
    x = 22,164.89

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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.