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Finding the Fourth Proportional to 20,169.57, 30,254.40 and 5,379.66

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Solution

The fourth proportional to 20,169.57, 30,254.40 and 5,379.66 is: 8,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169.57 : 30,254.40 = 5,379.66 : x
  2. Step 2: Convert to fraction form
    20,169.57/30,254.40 = 5,379.66/x
  3. Step 3: Cross multiply
    20,169.57x = 30,254.40 × 5,379.66
  4. Step 4: Simplify right side
    20,169.57x = 162,758,385.50
  5. Step 5: Solve for x
    x = 162,758,385.50/20,169.57
  6. Step 6: Final answer
    x = 8,069.50

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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.