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Finding the Fourth Proportional to 20,149.60, 30,223.14 and 6,109.60

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Solution

The fourth proportional to 20,149.60, 30,223.14 and 6,109.60 is: 9,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.60 : 30,223.14 = 6,109.60 : x
  2. Step 2: Convert to fraction form
    20,149.60/30,223.14 = 6,109.60/x
  3. Step 3: Cross multiply
    20,149.60x = 30,223.14 × 6,109.60
  4. Step 4: Simplify right side
    20,149.60x = 184,651,296.14
  5. Step 5: Solve for x
    x = 184,651,296.14/20,149.60
  6. Step 6: Final answer
    x = 9,164.02

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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.