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Finding the Fourth Proportional to 27,117, 40,676.22 and 8,649

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Solution

The fourth proportional to 27,117, 40,676.22 and 8,649 is: 12,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,117 : 40,676.22 = 8,649 : x
  2. Step 2: Convert to fraction form
    27,117/40,676.22 = 8,649/x
  3. Step 3: Cross multiply
    27,117x = 40,676.22 × 8,649
  4. Step 4: Simplify right side
    27,117x = 351,808,626.78
  5. Step 5: Solve for x
    x = 351,808,626.78/27,117
  6. Step 6: Final answer
    x = 12,973.73

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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.