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Finding the Fourth Proportional to 27,652.52, 41,478.96 and 6,876.20

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Solution

The fourth proportional to 27,652.52, 41,478.96 and 6,876.20 is: 10,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.52 : 41,478.96 = 6,876.20 : x
  2. Step 2: Convert to fraction form
    27,652.52/41,478.96 = 6,876.20/x
  3. Step 3: Cross multiply
    27,652.52x = 41,478.96 × 6,876.20
  4. Step 4: Simplify right side
    27,652.52x = 285,217,624.75
  5. Step 5: Solve for x
    x = 285,217,624.75/27,652.52
  6. Step 6: Final answer
    x = 10,314.34

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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.