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Finding the Fourth Proportional to 27,638.84, 41,458.26 and 10,099.10

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Solution

The fourth proportional to 27,638.84, 41,458.26 and 10,099.10 is: 15,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.84 : 41,458.26 = 10,099.10 : x
  2. Step 2: Convert to fraction form
    27,638.84/41,458.26 = 10,099.10/x
  3. Step 3: Cross multiply
    27,638.84x = 41,458.26 × 10,099.10
  4. Step 4: Simplify right side
    27,638.84x = 418,690,906.27
  5. Step 5: Solve for x
    x = 418,690,906.27/27,638.84
  6. Step 6: Final answer
    x = 15,148.65

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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.