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Finding the Fourth Proportional to 15,864.97, 21,896.36 and 9,149.39

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Solution

The fourth proportional to 15,864.97, 21,896.36 and 9,149.39 is: 12,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.97 : 21,896.36 = 9,149.39 : x
  2. Step 2: Convert to fraction form
    15,864.97/21,896.36 = 9,149.39/x
  3. Step 3: Cross multiply
    15,864.97x = 21,896.36 × 9,149.39
  4. Step 4: Simplify right side
    15,864.97x = 200,338,337.22
  5. Step 5: Solve for x
    x = 200,338,337.22/15,864.97
  6. Step 6: Final answer
    x = 12,627.72

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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.