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Finding the Fourth Proportional to 27,689.49, 41,534.82 and 9,921.30

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Solution

The fourth proportional to 27,689.49, 41,534.82 and 9,921.30 is: 14,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.49 : 41,534.82 = 9,921.30 : x
  2. Step 2: Convert to fraction form
    27,689.49/41,534.82 = 9,921.30/x
  3. Step 3: Cross multiply
    27,689.49x = 41,534.82 × 9,921.30
  4. Step 4: Simplify right side
    27,689.49x = 412,079,360.06
  5. Step 5: Solve for x
    x = 412,079,360.06/27,689.49
  6. Step 6: Final answer
    x = 14,882.16

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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.