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Finding the Fourth Proportional to 12,142.17, 18,213.12 and 6,944.40

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Solution

The fourth proportional to 12,142.17, 18,213.12 and 6,944.40 is: 10,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.17 : 18,213.12 = 6,944.40 : x
  2. Step 2: Convert to fraction form
    12,142.17/18,213.12 = 6,944.40/x
  3. Step 3: Cross multiply
    12,142.17x = 18,213.12 × 6,944.40
  4. Step 4: Simplify right side
    12,142.17x = 126,479,190.53
  5. Step 5: Solve for x
    x = 126,479,190.53/12,142.17
  6. Step 6: Final answer
    x = 10,416.52

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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.