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Finding the Fourth Proportional to 27,812.24, 41,717.88 and 9,344.24

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Solution

The fourth proportional to 27,812.24, 41,717.88 and 9,344.24 is: 14,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.24 : 41,717.88 = 9,344.24 : x
  2. Step 2: Convert to fraction form
    27,812.24/41,717.88 = 9,344.24/x
  3. Step 3: Cross multiply
    27,812.24x = 41,717.88 × 9,344.24
  4. Step 4: Simplify right side
    27,812.24x = 389,821,883.01
  5. Step 5: Solve for x
    x = 389,821,883.01/27,812.24
  6. Step 6: Final answer
    x = 14,016.20

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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.