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Finding the Fourth Proportional to 12,209.59, 18,317.02 and 4,311.82

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Solution

The fourth proportional to 12,209.59, 18,317.02 and 4,311.82 is: 6,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.59 : 18,317.02 = 4,311.82 : x
  2. Step 2: Convert to fraction form
    12,209.59/18,317.02 = 4,311.82/x
  3. Step 3: Cross multiply
    12,209.59x = 18,317.02 × 4,311.82
  4. Step 4: Simplify right side
    12,209.59x = 78,979,693.18
  5. Step 5: Solve for x
    x = 78,979,693.18/12,209.59
  6. Step 6: Final answer
    x = 6,468.66

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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.