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Finding the Fourth Proportional to 19,882.74, 27,438.20 and 10,930.40

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Solution

The fourth proportional to 19,882.74, 27,438.20 and 10,930.40 is: 15,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.74 : 27,438.20 = 10,930.40 : x
  2. Step 2: Convert to fraction form
    19,882.74/27,438.20 = 10,930.40/x
  3. Step 3: Cross multiply
    19,882.74x = 27,438.20 × 10,930.40
  4. Step 4: Simplify right side
    19,882.74x = 299,910,391.41
  5. Step 5: Solve for x
    x = 299,910,391.41/19,882.74
  6. Step 6: Final answer
    x = 15,083.96

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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.