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Finding the Fourth Proportional to 20,348.62, 30,538.54 and 9,107.44

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Solution

The fourth proportional to 20,348.62, 30,538.54 and 9,107.44 is: 13,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.62 : 30,538.54 = 9,107.44 : x
  2. Step 2: Convert to fraction form
    20,348.62/30,538.54 = 9,107.44/x
  3. Step 3: Cross multiply
    20,348.62x = 30,538.54 × 9,107.44
  4. Step 4: Simplify right side
    20,348.62x = 278,127,920.74
  5. Step 5: Solve for x
    x = 278,127,920.74/20,348.62
  6. Step 6: Final answer
    x = 13,668.15

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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.