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Finding the Fourth Proportional to 24,231.97, 36,352.83 and 8,649.19

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Solution

The fourth proportional to 24,231.97, 36,352.83 and 8,649.19 is: 12,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.97 : 36,352.83 = 8,649.19 : x
  2. Step 2: Convert to fraction form
    24,231.97/36,352.83 = 8,649.19/x
  3. Step 3: Cross multiply
    24,231.97x = 36,352.83 × 8,649.19
  4. Step 4: Simplify right side
    24,231.97x = 314,422,533.71
  5. Step 5: Solve for x
    x = 314,422,533.71/24,231.97
  6. Step 6: Final answer
    x = 12,975.53

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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.