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Finding the Fourth Proportional to 27,638.73, 41,445.14 and 10,096.29

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Solution

The fourth proportional to 27,638.73, 41,445.14 and 10,096.29 is: 15,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.73 : 41,445.14 = 10,096.29 : x
  2. Step 2: Convert to fraction form
    27,638.73/41,445.14 = 10,096.29/x
  3. Step 3: Cross multiply
    27,638.73x = 41,445.14 × 10,096.29
  4. Step 4: Simplify right side
    27,638.73x = 418,442,102.05
  5. Step 5: Solve for x
    x = 418,442,102.05/27,638.73
  6. Step 6: Final answer
    x = 15,139.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.