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Finding the Fourth Proportional to 19,882.17, 27,438.09 and 10,930.50

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Solution

The fourth proportional to 19,882.17, 27,438.09 and 10,930.50 is: 15,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.17 : 27,438.09 = 10,930.50 : x
  2. Step 2: Convert to fraction form
    19,882.17/27,438.09 = 10,930.50/x
  3. Step 3: Cross multiply
    19,882.17x = 27,438.09 × 10,930.50
  4. Step 4: Simplify right side
    19,882.17x = 299,912,042.75
  5. Step 5: Solve for x
    x = 299,912,042.75/19,882.17
  6. Step 6: Final answer
    x = 15,084.47

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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.