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Finding the Fourth Proportional to 24,213.67, 36,320.86 and 9,221.61

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Solution

The fourth proportional to 24,213.67, 36,320.86 and 9,221.61 is: 13,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.67 : 36,320.86 = 9,221.61 : x
  2. Step 2: Convert to fraction form
    24,213.67/36,320.86 = 9,221.61/x
  3. Step 3: Cross multiply
    24,213.67x = 36,320.86 × 9,221.61
  4. Step 4: Simplify right side
    24,213.67x = 334,936,924.93
  5. Step 5: Solve for x
    x = 334,936,924.93/24,213.67
  6. Step 6: Final answer
    x = 13,832.56

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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.