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Finding the Fourth Proportional to 12,378.60, 18,524.70 and 8,663.40

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Solution

The fourth proportional to 12,378.60, 18,524.70 and 8,663.40 is: 12,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.60 : 18,524.70 = 8,663.40 : x
  2. Step 2: Convert to fraction form
    12,378.60/18,524.70 = 8,663.40/x
  3. Step 3: Cross multiply
    12,378.60x = 18,524.70 × 8,663.40
  4. Step 4: Simplify right side
    12,378.60x = 160,486,885.98
  5. Step 5: Solve for x
    x = 160,486,885.98/12,378.60
  6. Step 6: Final answer
    x = 12,964.87

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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.