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Finding the Fourth Proportional to 27,213.92, 40,806.30 and 12,414.86

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Solution

The fourth proportional to 27,213.92, 40,806.30 and 12,414.86 is: 18,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.92 : 40,806.30 = 12,414.86 : x
  2. Step 2: Convert to fraction form
    27,213.92/40,806.30 = 12,414.86/x
  3. Step 3: Cross multiply
    27,213.92x = 40,806.30 × 12,414.86
  4. Step 4: Simplify right side
    27,213.92x = 506,604,501.62
  5. Step 5: Solve for x
    x = 506,604,501.62/27,213.92
  6. Step 6: Final answer
    x = 18,615.64

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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.