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Finding the Fourth Proportional to 27,156.96, 40,727.52 and 8,432.16

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Solution

The fourth proportional to 27,156.96, 40,727.52 and 8,432.16 is: 12,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,156.96 : 40,727.52 = 8,432.16 : x
  2. Step 2: Convert to fraction form
    27,156.96/40,727.52 = 8,432.16/x
  3. Step 3: Cross multiply
    27,156.96x = 40,727.52 × 8,432.16
  4. Step 4: Simplify right side
    27,156.96x = 343,420,965.04
  5. Step 5: Solve for x
    x = 343,420,965.04/27,156.96
  6. Step 6: Final answer
    x = 12,645.78

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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.