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Finding the Fourth Proportional to 27,100.12, 40,663.14 and 9,578.20

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Solution

The fourth proportional to 27,100.12, 40,663.14 and 9,578.20 is: 14,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.12 : 40,663.14 = 9,578.20 : x
  2. Step 2: Convert to fraction form
    27,100.12/40,663.14 = 9,578.20/x
  3. Step 3: Cross multiply
    27,100.12x = 40,663.14 × 9,578.20
  4. Step 4: Simplify right side
    27,100.12x = 389,479,687.55
  5. Step 5: Solve for x
    x = 389,479,687.55/27,100.12
  6. Step 6: Final answer
    x = 14,371.88

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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.