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Finding the Fourth Proportional to 20,197.47, 30,272.48 and 9,091.16

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Solution

The fourth proportional to 20,197.47, 30,272.48 and 9,091.16 is: 13,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.47 : 30,272.48 = 9,091.16 : x
  2. Step 2: Convert to fraction form
    20,197.47/30,272.48 = 9,091.16/x
  3. Step 3: Cross multiply
    20,197.47x = 30,272.48 × 9,091.16
  4. Step 4: Simplify right side
    20,197.47x = 275,211,959.28
  5. Step 5: Solve for x
    x = 275,211,959.28/20,197.47
  6. Step 6: Final answer
    x = 13,626.06

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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.