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Finding the Fourth Proportional to 22,191.75, 30,624.86 and 12,120.48

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Solution

The fourth proportional to 22,191.75, 30,624.86 and 12,120.48 is: 16,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,191.75 : 30,624.86 = 12,120.48 : x
  2. Step 2: Convert to fraction form
    22,191.75/30,624.86 = 12,120.48/x
  3. Step 3: Cross multiply
    22,191.75x = 30,624.86 × 12,120.48
  4. Step 4: Simplify right side
    22,191.75x = 371,187,942.53
  5. Step 5: Solve for x
    x = 371,187,942.53/22,191.75
  6. Step 6: Final answer
    x = 16,726.39

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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.