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Finding the Fourth Proportional to 20,488.36, 30,734.40 and 7,340.80

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Solution

The fourth proportional to 20,488.36, 30,734.40 and 7,340.80 is: 11,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.36 : 30,734.40 = 7,340.80 : x
  2. Step 2: Convert to fraction form
    20,488.36/30,734.40 = 7,340.80/x
  3. Step 3: Cross multiply
    20,488.36x = 30,734.40 × 7,340.80
  4. Step 4: Simplify right side
    20,488.36x = 225,615,083.52
  5. Step 5: Solve for x
    x = 225,615,083.52/20,488.36
  6. Step 6: Final answer
    x = 11,011.87

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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.