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Finding the Fourth Proportional to 12,191.35, 18,274.78 and 8,297.59

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Solution

The fourth proportional to 12,191.35, 18,274.78 and 8,297.59 is: 12,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.35 : 18,274.78 = 8,297.59 : x
  2. Step 2: Convert to fraction form
    12,191.35/18,274.78 = 8,297.59/x
  3. Step 3: Cross multiply
    12,191.35x = 18,274.78 × 8,297.59
  4. Step 4: Simplify right side
    12,191.35x = 151,636,631.78
  5. Step 5: Solve for x
    x = 151,636,631.78/12,191.35
  6. Step 6: Final answer
    x = 12,438.05

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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.