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Finding the Fourth Proportional to 19,926.78, 27,498 and 10,974.66

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Solution

The fourth proportional to 19,926.78, 27,498 and 10,974.66 is: 15,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926.78 : 27,498 = 10,974.66 : x
  2. Step 2: Convert to fraction form
    19,926.78/27,498 = 10,974.66/x
  3. Step 3: Cross multiply
    19,926.78x = 27,498 × 10,974.66
  4. Step 4: Simplify right side
    19,926.78x = 301,781,200.68
  5. Step 5: Solve for x
    x = 301,781,200.68/19,926.78
  6. Step 6: Final answer
    x = 15,144.50

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