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Finding the Fourth Proportional to 20,139.68, 30,200.40 and 9,040.65

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Solution

The fourth proportional to 20,139.68, 30,200.40 and 9,040.65 is: 13,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.68 : 30,200.40 = 9,040.65 : x
  2. Step 2: Convert to fraction form
    20,139.68/30,200.40 = 9,040.65/x
  3. Step 3: Cross multiply
    20,139.68x = 30,200.40 × 9,040.65
  4. Step 4: Simplify right side
    20,139.68x = 273,031,246.26
  5. Step 5: Solve for x
    x = 273,031,246.26/20,139.68
  6. Step 6: Final answer
    x = 13,556.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.