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Finding the Fourth Proportional to 12,208.65, 18,314.42 and 3,885.75

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Solution

The fourth proportional to 12,208.65, 18,314.42 and 3,885.75 is: 5,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.65 : 18,314.42 = 3,885.75 : x
  2. Step 2: Convert to fraction form
    12,208.65/18,314.42 = 3,885.75/x
  3. Step 3: Cross multiply
    12,208.65x = 18,314.42 × 3,885.75
  4. Step 4: Simplify right side
    12,208.65x = 71,165,257.52
  5. Step 5: Solve for x
    x = 71,165,257.52/12,208.65
  6. Step 6: Final answer
    x = 5,829.08

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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.