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Finding the Fourth Proportional to 12,216.85, 18,327.59 and 4,209.49

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Solution

The fourth proportional to 12,216.85, 18,327.59 and 4,209.49 is: 6,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.85 : 18,327.59 = 4,209.49 : x
  2. Step 2: Convert to fraction form
    12,216.85/18,327.59 = 4,209.49/x
  3. Step 3: Cross multiply
    12,216.85x = 18,327.59 × 4,209.49
  4. Step 4: Simplify right side
    12,216.85x = 77,149,848.16
  5. Step 5: Solve for x
    x = 77,149,848.16/12,216.85
  6. Step 6: Final answer
    x = 6,315.04

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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.