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Finding the Fourth Proportional to 12,418.57, 18,633.12 and 5,844.61

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Solution

The fourth proportional to 12,418.57, 18,633.12 and 5,844.61 is: 8,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.57 : 18,633.12 = 5,844.61 : x
  2. Step 2: Convert to fraction form
    12,418.57/18,633.12 = 5,844.61/x
  3. Step 3: Cross multiply
    12,418.57x = 18,633.12 × 5,844.61
  4. Step 4: Simplify right side
    12,418.57x = 108,903,319.48
  5. Step 5: Solve for x
    x = 108,903,319.48/12,418.57
  6. Step 6: Final answer
    x = 8,769.39

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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.