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Finding the Fourth Proportional to 12,478.62, 17,223.37 and 8,230.44

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Solution

The fourth proportional to 12,478.62, 17,223.37 and 8,230.44 is: 11,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.62 : 17,223.37 = 8,230.44 : x
  2. Step 2: Convert to fraction form
    12,478.62/17,223.37 = 8,230.44/x
  3. Step 3: Cross multiply
    12,478.62x = 17,223.37 × 8,230.44
  4. Step 4: Simplify right side
    12,478.62x = 141,755,892.81
  5. Step 5: Solve for x
    x = 141,755,892.81/12,478.62
  6. Step 6: Final answer
    x = 11,359.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.