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Finding the Fourth Proportional to 12,383.40, 18,575.10 and 8,446.80

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Solution

The fourth proportional to 12,383.40, 18,575.10 and 8,446.80 is: 12,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.40 : 18,575.10 = 8,446.80 : x
  2. Step 2: Convert to fraction form
    12,383.40/18,575.10 = 8,446.80/x
  3. Step 3: Cross multiply
    12,383.40x = 18,575.10 × 8,446.80
  4. Step 4: Simplify right side
    12,383.40x = 156,900,154.68
  5. Step 5: Solve for x
    x = 156,900,154.68/12,383.40
  6. Step 6: Final answer
    x = 12,670.20

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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.