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Finding the Fourth Proportional to 12,132, 18,178.50 and 10,188

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Solution

The fourth proportional to 12,132, 18,178.50 and 10,188 is: 15,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 18,178.50 = 10,188 : x
  2. Step 2: Convert to fraction form
    12,132/18,178.50 = 10,188/x
  3. Step 3: Cross multiply
    12,132x = 18,178.50 × 10,188
  4. Step 4: Simplify right side
    12,132x = 185,202,558
  5. Step 5: Solve for x
    x = 185,202,558/12,132
  6. Step 6: Final answer
    x = 15,265.62

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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.