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Finding the Fourth Proportional to 24,464.24, 36,696.38 and 5,996.24

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Solution

The fourth proportional to 24,464.24, 36,696.38 and 5,996.24 is: 8,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.24 : 36,696.38 = 5,996.24 : x
  2. Step 2: Convert to fraction form
    24,464.24/36,696.38 = 5,996.24/x
  3. Step 3: Cross multiply
    24,464.24x = 36,696.38 × 5,996.24
  4. Step 4: Simplify right side
    24,464.24x = 220,040,301.61
  5. Step 5: Solve for x
    x = 220,040,301.61/24,464.24
  6. Step 6: Final answer
    x = 8,994.36

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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.