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Finding the Fourth Proportional to 12,188.84, 18,286.10 and 5,169.45

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Solution

The fourth proportional to 12,188.84, 18,286.10 and 5,169.45 is: 7,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.84 : 18,286.10 = 5,169.45 : x
  2. Step 2: Convert to fraction form
    12,188.84/18,286.10 = 5,169.45/x
  3. Step 3: Cross multiply
    12,188.84x = 18,286.10 × 5,169.45
  4. Step 4: Simplify right side
    12,188.84x = 94,529,053.80
  5. Step 5: Solve for x
    x = 94,529,053.80/12,188.84
  6. Step 6: Final answer
    x = 7,755.38

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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.