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Finding the Fourth Proportional to 12,186.84, 18,277.95 and 5,940.57

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Solution

The fourth proportional to 12,186.84, 18,277.95 and 5,940.57 is: 8,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.84 : 18,277.95 = 5,940.57 : x
  2. Step 2: Convert to fraction form
    12,186.84/18,277.95 = 5,940.57/x
  3. Step 3: Cross multiply
    12,186.84x = 18,277.95 × 5,940.57
  4. Step 4: Simplify right side
    12,186.84x = 108,581,532.25
  5. Step 5: Solve for x
    x = 108,581,532.25/12,186.84
  6. Step 6: Final answer
    x = 8,909.73

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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.