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Finding the Fourth Proportional to 24,114.20, 36,177.60 and 9,323.60

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Solution

The fourth proportional to 24,114.20, 36,177.60 and 9,323.60 is: 13,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.20 : 36,177.60 = 9,323.60 : x
  2. Step 2: Convert to fraction form
    24,114.20/36,177.60 = 9,323.60/x
  3. Step 3: Cross multiply
    24,114.20x = 36,177.60 × 9,323.60
  4. Step 4: Simplify right side
    24,114.20x = 337,305,471.36
  5. Step 5: Solve for x
    x = 337,305,471.36/24,114.20
  6. Step 6: Final answer
    x = 13,987.84

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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.