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Finding the Fourth Proportional to 20,710.11, 31,065.24 and 8,229.33

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Solution

The fourth proportional to 20,710.11, 31,065.24 and 8,229.33 is: 12,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.11 : 31,065.24 = 8,229.33 : x
  2. Step 2: Convert to fraction form
    20,710.11/31,065.24 = 8,229.33/x
  3. Step 3: Cross multiply
    20,710.11x = 31,065.24 × 8,229.33
  4. Step 4: Simplify right side
    20,710.11x = 255,646,111.49
  5. Step 5: Solve for x
    x = 255,646,111.49/20,710.11
  6. Step 6: Final answer
    x = 12,344.02

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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.