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Finding the Fourth Proportional to 24,067.40, 36,101.10 and 10,214.60

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Solution

The fourth proportional to 24,067.40, 36,101.10 and 10,214.60 is: 15,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.40 : 36,101.10 = 10,214.60 : x
  2. Step 2: Convert to fraction form
    24,067.40/36,101.10 = 10,214.60/x
  3. Step 3: Cross multiply
    24,067.40x = 36,101.10 × 10,214.60
  4. Step 4: Simplify right side
    24,067.40x = 368,758,296.06
  5. Step 5: Solve for x
    x = 368,758,296.06/24,067.40
  6. Step 6: Final answer
    x = 15,321.90

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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.