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Finding the Fourth Proportional to 20,873.92, 31,309.65 and 6,843.10

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Solution

The fourth proportional to 20,873.92, 31,309.65 and 6,843.10 is: 10,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.92 : 31,309.65 = 6,843.10 : x
  2. Step 2: Convert to fraction form
    20,873.92/31,309.65 = 6,843.10/x
  3. Step 3: Cross multiply
    20,873.92x = 31,309.65 × 6,843.10
  4. Step 4: Simplify right side
    20,873.92x = 214,255,065.92
  5. Step 5: Solve for x
    x = 214,255,065.92/20,873.92
  6. Step 6: Final answer
    x = 10,264.25

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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.