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Finding the Fourth Proportional to 12,337.96, 18,515.14 and 5,764.66

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Solution

The fourth proportional to 12,337.96, 18,515.14 and 5,764.66 is: 8,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.96 : 18,515.14 = 5,764.66 : x
  2. Step 2: Convert to fraction form
    12,337.96/18,515.14 = 5,764.66/x
  3. Step 3: Cross multiply
    12,337.96x = 18,515.14 × 5,764.66
  4. Step 4: Simplify right side
    12,337.96x = 106,733,391.54
  5. Step 5: Solve for x
    x = 106,733,391.54/12,337.96
  6. Step 6: Final answer
    x = 8,650.82

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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.