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Finding the Fourth Proportional to 27,167.86, 40,751.94 and 12,366.42

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Solution

The fourth proportional to 27,167.86, 40,751.94 and 12,366.42 is: 18,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,167.86 : 40,751.94 = 12,366.42 : x
  2. Step 2: Convert to fraction form
    27,167.86/40,751.94 = 12,366.42/x
  3. Step 3: Cross multiply
    27,167.86x = 40,751.94 × 12,366.42
  4. Step 4: Simplify right side
    27,167.86x = 503,955,624.30
  5. Step 5: Solve for x
    x = 503,955,624.30/27,167.86
  6. Step 6: Final answer
    x = 18,549.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.