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Finding the Fourth Proportional to 24,110.40, 36,164.97 and 7,469.76

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Solution

The fourth proportional to 24,110.40, 36,164.97 and 7,469.76 is: 11,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,110.40 : 36,164.97 = 7,469.76 : x
  2. Step 2: Convert to fraction form
    24,110.40/36,164.97 = 7,469.76/x
  3. Step 3: Cross multiply
    24,110.40x = 36,164.97 × 7,469.76
  4. Step 4: Simplify right side
    24,110.40x = 270,143,646.31
  5. Step 5: Solve for x
    x = 270,143,646.31/24,110.40
  6. Step 6: Final answer
    x = 11,204.44

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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.