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Finding the Fourth Proportional to 12,124.82, 16,713.19 and 11,107.86

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Solution

The fourth proportional to 12,124.82, 16,713.19 and 11,107.86 is: 15,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.82 : 16,713.19 = 11,107.86 : x
  2. Step 2: Convert to fraction form
    12,124.82/16,713.19 = 11,107.86/x
  3. Step 3: Cross multiply
    12,124.82x = 16,713.19 × 11,107.86
  4. Step 4: Simplify right side
    12,124.82x = 185,647,774.67
  5. Step 5: Solve for x
    x = 185,647,774.67/12,124.82
  6. Step 6: Final answer
    x = 15,311.38

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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.