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Finding the Fourth Proportional to 27,614.16, 41,416.92 and 9,146.16

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Solution

The fourth proportional to 27,614.16, 41,416.92 and 9,146.16 is: 13,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.16 : 41,416.92 = 9,146.16 : x
  2. Step 2: Convert to fraction form
    27,614.16/41,416.92 = 9,146.16/x
  3. Step 3: Cross multiply
    27,614.16x = 41,416.92 × 9,146.16
  4. Step 4: Simplify right side
    27,614.16x = 378,805,777.03
  5. Step 5: Solve for x
    x = 378,805,777.03/27,614.16
  6. Step 6: Final answer
    x = 13,717.81

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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.