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Finding the Fourth Proportional to 12,187.68, 18,257.16 and 5,604.84

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Solution

The fourth proportional to 12,187.68, 18,257.16 and 5,604.84 is: 8,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.68 : 18,257.16 = 5,604.84 : x
  2. Step 2: Convert to fraction form
    12,187.68/18,257.16 = 5,604.84/x
  3. Step 3: Cross multiply
    12,187.68x = 18,257.16 × 5,604.84
  4. Step 4: Simplify right side
    12,187.68x = 102,328,460.65
  5. Step 5: Solve for x
    x = 102,328,460.65/12,187.68
  6. Step 6: Final answer
    x = 8,396.06

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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.