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Finding the Fourth Proportional to 12,186.90, 18,278.05 and 5,940.64

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Solution

The fourth proportional to 12,186.90, 18,278.05 and 5,940.64 is: 8,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.90 : 18,278.05 = 5,940.64 : x
  2. Step 2: Convert to fraction form
    12,186.90/18,278.05 = 5,940.64/x
  3. Step 3: Cross multiply
    12,186.90x = 18,278.05 × 5,940.64
  4. Step 4: Simplify right side
    12,186.90x = 108,583,314.95
  5. Step 5: Solve for x
    x = 108,583,314.95/12,186.90
  6. Step 6: Final answer
    x = 8,909.84

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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.