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Finding the Fourth Proportional to 27,031.86, 40,523.18 and 12,232.71

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Solution

The fourth proportional to 27,031.86, 40,523.18 and 12,232.71 is: 18,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.86 : 40,523.18 = 12,232.71 : x
  2. Step 2: Convert to fraction form
    27,031.86/40,523.18 = 12,232.71/x
  3. Step 3: Cross multiply
    27,031.86x = 40,523.18 × 12,232.71
  4. Step 4: Simplify right side
    27,031.86x = 495,708,248.05
  5. Step 5: Solve for x
    x = 495,708,248.05/27,031.86
  6. Step 6: Final answer
    x = 18,337.93

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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.