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Finding the Fourth Proportional to 24,218.47, 36,333.56 and 8,421.22

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Solution

The fourth proportional to 24,218.47, 36,333.56 and 8,421.22 is: 12,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.47 : 36,333.56 = 8,421.22 : x
  2. Step 2: Convert to fraction form
    24,218.47/36,333.56 = 8,421.22/x
  3. Step 3: Cross multiply
    24,218.47x = 36,333.56 × 8,421.22
  4. Step 4: Simplify right side
    24,218.47x = 305,972,902.14
  5. Step 5: Solve for x
    x = 305,972,902.14/24,218.47
  6. Step 6: Final answer
    x = 12,633.87

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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.