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Finding the Fourth Proportional to 20,979.26, 31,459.17 and 7,822.16

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Solution

The fourth proportional to 20,979.26, 31,459.17 and 7,822.16 is: 11,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979.26 : 31,459.17 = 7,822.16 : x
  2. Step 2: Convert to fraction form
    20,979.26/31,459.17 = 7,822.16/x
  3. Step 3: Cross multiply
    20,979.26x = 31,459.17 × 7,822.16
  4. Step 4: Simplify right side
    20,979.26x = 246,078,661.21
  5. Step 5: Solve for x
    x = 246,078,661.21/20,979.26
  6. Step 6: Final answer
    x = 11,729.62

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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.