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Finding the Fourth Proportional to 15,182.24, 22,775.78 and 6,861.92

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Solution

The fourth proportional to 15,182.24, 22,775.78 and 6,861.92 is: 10,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.24 : 22,775.78 = 6,861.92 : x
  2. Step 2: Convert to fraction form
    15,182.24/22,775.78 = 6,861.92/x
  3. Step 3: Cross multiply
    15,182.24x = 22,775.78 × 6,861.92
  4. Step 4: Simplify right side
    15,182.24x = 156,285,483.57
  5. Step 5: Solve for x
    x = 156,285,483.57/15,182.24
  6. Step 6: Final answer
    x = 10,293.97

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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.