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Finding the Fourth Proportional to 26,878.47, 37,097.13 and 15,546.39

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Solution

The fourth proportional to 26,878.47, 37,097.13 and 15,546.39 is: 21,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,878.47 : 37,097.13 = 15,546.39 : x
  2. Step 2: Convert to fraction form
    26,878.47/37,097.13 = 15,546.39/x
  3. Step 3: Cross multiply
    26,878.47x = 37,097.13 × 15,546.39
  4. Step 4: Simplify right side
    26,878.47x = 576,726,265.38
  5. Step 5: Solve for x
    x = 576,726,265.38/26,878.47
  6. Step 6: Final answer
    x = 21,456.82

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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.