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Finding the Fourth Proportional to 13,678.92, 20,500.56 and 6,176.90

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Solution

The fourth proportional to 13,678.92, 20,500.56 and 6,176.90 is: 9,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.92 : 20,500.56 = 6,176.90 : x
  2. Step 2: Convert to fraction form
    13,678.92/20,500.56 = 6,176.90/x
  3. Step 3: Cross multiply
    13,678.92x = 20,500.56 × 6,176.90
  4. Step 4: Simplify right side
    13,678.92x = 126,629,878.18
  5. Step 5: Solve for x
    x = 126,629,878.18/13,678.92
  6. Step 6: Final answer
    x = 9,257.30

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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.