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Finding the Fourth Proportional to 24,223.82, 36,309.60 and 11,717.42

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Solution

The fourth proportional to 24,223.82, 36,309.60 and 11,717.42 is: 17,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.82 : 36,309.60 = 11,717.42 : x
  2. Step 2: Convert to fraction form
    24,223.82/36,309.60 = 11,717.42/x
  3. Step 3: Cross multiply
    24,223.82x = 36,309.60 × 11,717.42
  4. Step 4: Simplify right side
    24,223.82x = 425,454,651.68
  5. Step 5: Solve for x
    x = 425,454,651.68/24,223.82
  6. Step 6: Final answer
    x = 17,563.49

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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.