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Finding the Fourth Proportional to 20,488.01, 30,735.24 and 7,340.09

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Solution

The fourth proportional to 20,488.01, 30,735.24 and 7,340.09 is: 11,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.01 : 30,735.24 = 7,340.09 : x
  2. Step 2: Convert to fraction form
    20,488.01/30,735.24 = 7,340.09/x
  3. Step 3: Cross multiply
    20,488.01x = 30,735.24 × 7,340.09
  4. Step 4: Simplify right side
    20,488.01x = 225,599,274.10
  5. Step 5: Solve for x
    x = 225,599,274.10/20,488.01
  6. Step 6: Final answer
    x = 11,011.29

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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.