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Finding the Fourth Proportional to 12,349.60, 18,524.40 and 8,194.30

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Solution

The fourth proportional to 12,349.60, 18,524.40 and 8,194.30 is: 12,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.60 : 18,524.40 = 8,194.30 : x
  2. Step 2: Convert to fraction form
    12,349.60/18,524.40 = 8,194.30/x
  3. Step 3: Cross multiply
    12,349.60x = 18,524.40 × 8,194.30
  4. Step 4: Simplify right side
    12,349.60x = 151,794,490.92
  5. Step 5: Solve for x
    x = 151,794,490.92/12,349.60
  6. Step 6: Final answer
    x = 12,291.45

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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.