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Finding the Fourth Proportional to 27,865.92, 41,803.08 and 8,142

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Solution

The fourth proportional to 27,865.92, 41,803.08 and 8,142 is: 12,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.92 : 41,803.08 = 8,142 : x
  2. Step 2: Convert to fraction form
    27,865.92/41,803.08 = 8,142/x
  3. Step 3: Cross multiply
    27,865.92x = 41,803.08 × 8,142
  4. Step 4: Simplify right side
    27,865.92x = 340,360,677.36
  5. Step 5: Solve for x
    x = 340,360,677.36/27,865.92
  6. Step 6: Final answer
    x = 12,214.23

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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.