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Finding the Fourth Proportional to 20,198.92, 30,293.68 and 7,714.36

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Solution

The fourth proportional to 20,198.92, 30,293.68 and 7,714.36 is: 11,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.92 : 30,293.68 = 7,714.36 : x
  2. Step 2: Convert to fraction form
    20,198.92/30,293.68 = 7,714.36/x
  3. Step 3: Cross multiply
    20,198.92x = 30,293.68 × 7,714.36
  4. Step 4: Simplify right side
    20,198.92x = 233,696,353.24
  5. Step 5: Solve for x
    x = 233,696,353.24/20,198.92
  6. Step 6: Final answer
    x = 11,569.74

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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.