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Finding the Fourth Proportional to 24,394.23, 36,591.75 and 6,864.48

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Solution

The fourth proportional to 24,394.23, 36,591.75 and 6,864.48 is: 10,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.23 : 36,591.75 = 6,864.48 : x
  2. Step 2: Convert to fraction form
    24,394.23/36,591.75 = 6,864.48/x
  3. Step 3: Cross multiply
    24,394.23x = 36,591.75 × 6,864.48
  4. Step 4: Simplify right side
    24,394.23x = 251,183,336.04
  5. Step 5: Solve for x
    x = 251,183,336.04/24,394.23
  6. Step 6: Final answer
    x = 10,296.83

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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.