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Finding the Fourth Proportional to 20,139.60, 30,187.80 and 7,654.80

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Solution

The fourth proportional to 20,139.60, 30,187.80 and 7,654.80 is: 11,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.60 : 30,187.80 = 7,654.80 : x
  2. Step 2: Convert to fraction form
    20,139.60/30,187.80 = 7,654.80/x
  3. Step 3: Cross multiply
    20,139.60x = 30,187.80 × 7,654.80
  4. Step 4: Simplify right side
    20,139.60x = 231,081,571.44
  5. Step 5: Solve for x
    x = 231,081,571.44/20,139.60
  6. Step 6: Final answer
    x = 11,473.99

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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.