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Finding the Fourth Proportional to 20,149.80, 30,188.70 and 9,738.60

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Solution

The fourth proportional to 20,149.80, 30,188.70 and 9,738.60 is: 14,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.80 : 30,188.70 = 9,738.60 : x
  2. Step 2: Convert to fraction form
    20,149.80/30,188.70 = 9,738.60/x
  3. Step 3: Cross multiply
    20,149.80x = 30,188.70 × 9,738.60
  4. Step 4: Simplify right side
    20,149.80x = 293,995,673.82
  5. Step 5: Solve for x
    x = 293,995,673.82/20,149.80
  6. Step 6: Final answer
    x = 14,590.50

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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.