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Finding the Fourth Proportional to 27,903.20, 41,861.55 and 8,182.40

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Solution

The fourth proportional to 27,903.20, 41,861.55 and 8,182.40 is: 12,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,903.20 : 41,861.55 = 8,182.40 : x
  2. Step 2: Convert to fraction form
    27,903.20/41,861.55 = 8,182.40/x
  3. Step 3: Cross multiply
    27,903.20x = 41,861.55 × 8,182.40
  4. Step 4: Simplify right side
    27,903.20x = 342,527,946.72
  5. Step 5: Solve for x
    x = 342,527,946.72/27,903.20
  6. Step 6: Final answer
    x = 12,275.58

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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.