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Finding the Fourth Proportional to 20,189.60, 30,287.64 and 9,100.16

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Solution

The fourth proportional to 20,189.60, 30,287.64 and 9,100.16 is: 13,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.60 : 30,287.64 = 9,100.16 : x
  2. Step 2: Convert to fraction form
    20,189.60/30,287.64 = 9,100.16/x
  3. Step 3: Cross multiply
    20,189.60x = 30,287.64 × 9,100.16
  4. Step 4: Simplify right side
    20,189.60x = 275,622,370.02
  5. Step 5: Solve for x
    x = 275,622,370.02/20,189.60
  6. Step 6: Final answer
    x = 13,651.70

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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.