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Finding the Fourth Proportional to 12,367.80, 18,566.10 and 8,003.40

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Solution

The fourth proportional to 12,367.80, 18,566.10 and 8,003.40 is: 12,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.80 : 18,566.10 = 8,003.40 : x
  2. Step 2: Convert to fraction form
    12,367.80/18,566.10 = 8,003.40/x
  3. Step 3: Cross multiply
    12,367.80x = 18,566.10 × 8,003.40
  4. Step 4: Simplify right side
    12,367.80x = 148,591,924.74
  5. Step 5: Solve for x
    x = 148,591,924.74/12,367.80
  6. Step 6: Final answer
    x = 12,014.42

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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.