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Finding the Fourth Proportional to 24,107.90, 36,165.26 and 7,469.24

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Solution

The fourth proportional to 24,107.90, 36,165.26 and 7,469.24 is: 11,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.90 : 36,165.26 = 7,469.24 : x
  2. Step 2: Convert to fraction form
    24,107.90/36,165.26 = 7,469.24/x
  3. Step 3: Cross multiply
    24,107.90x = 36,165.26 × 7,469.24
  4. Step 4: Simplify right side
    24,107.90x = 270,126,844.45
  5. Step 5: Solve for x
    x = 270,126,844.45/24,107.90
  6. Step 6: Final answer
    x = 11,204.91

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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.