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Finding the Fourth Proportional to 27,672.13, 41,508.19 and 9,204.13

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Solution

The fourth proportional to 27,672.13, 41,508.19 and 9,204.13 is: 13,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.13 : 41,508.19 = 9,204.13 : x
  2. Step 2: Convert to fraction form
    27,672.13/41,508.19 = 9,204.13/x
  3. Step 3: Cross multiply
    27,672.13x = 41,508.19 × 9,204.13
  4. Step 4: Simplify right side
    27,672.13x = 382,046,569.28
  5. Step 5: Solve for x
    x = 382,046,569.28/27,672.13
  6. Step 6: Final answer
    x = 13,806.19

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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.