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Finding the Fourth Proportional to 20,071.68, 30,110.36 and 8,382.24

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Solution

The fourth proportional to 20,071.68, 30,110.36 and 8,382.24 is: 12,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.68 : 30,110.36 = 8,382.24 : x
  2. Step 2: Convert to fraction form
    20,071.68/30,110.36 = 8,382.24/x
  3. Step 3: Cross multiply
    20,071.68x = 30,110.36 × 8,382.24
  4. Step 4: Simplify right side
    20,071.68x = 252,392,264.01
  5. Step 5: Solve for x
    x = 252,392,264.01/20,071.68
  6. Step 6: Final answer
    x = 12,574.55

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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.