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Finding the Fourth Proportional to 13,612.38, 18,788.32 and 8,311.67

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Solution

The fourth proportional to 13,612.38, 18,788.32 and 8,311.67 is: 11,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.38 : 18,788.32 = 8,311.67 : x
  2. Step 2: Convert to fraction form
    13,612.38/18,788.32 = 8,311.67/x
  3. Step 3: Cross multiply
    13,612.38x = 18,788.32 × 8,311.67
  4. Step 4: Simplify right side
    13,612.38x = 156,162,315.69
  5. Step 5: Solve for x
    x = 156,162,315.69/13,612.38
  6. Step 6: Final answer
    x = 11,472.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.