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Finding the Fourth Proportional to 20,872.71, 31,314.19 and 6,081.77

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Solution

The fourth proportional to 20,872.71, 31,314.19 and 6,081.77 is: 9,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.71 : 31,314.19 = 6,081.77 : x
  2. Step 2: Convert to fraction form
    20,872.71/31,314.19 = 6,081.77/x
  3. Step 3: Cross multiply
    20,872.71x = 31,314.19 × 6,081.77
  4. Step 4: Simplify right side
    20,872.71x = 190,445,529.54
  5. Step 5: Solve for x
    x = 190,445,529.54/20,872.71
  6. Step 6: Final answer
    x = 9,124.14

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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.