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Finding the Fourth Proportional to 20,511.68, 30,760.32 and 7,181.12

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Solution

The fourth proportional to 20,511.68, 30,760.32 and 7,181.12 is: 10,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.68 : 30,760.32 = 7,181.12 : x
  2. Step 2: Convert to fraction form
    20,511.68/30,760.32 = 7,181.12/x
  3. Step 3: Cross multiply
    20,511.68x = 30,760.32 × 7,181.12
  4. Step 4: Simplify right side
    20,511.68x = 220,893,549.16
  5. Step 5: Solve for x
    x = 220,893,549.16/20,511.68
  6. Step 6: Final answer
    x = 10,769.16

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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.