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Finding the Fourth Proportional to 12,114.40, 18,172.04 and 3,350

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Solution

The fourth proportional to 12,114.40, 18,172.04 and 3,350 is: 5,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.40 : 18,172.04 = 3,350 : x
  2. Step 2: Convert to fraction form
    12,114.40/18,172.04 = 3,350/x
  3. Step 3: Cross multiply
    12,114.40x = 18,172.04 × 3,350
  4. Step 4: Simplify right side
    12,114.40x = 60,876,334
  5. Step 5: Solve for x
    x = 60,876,334/12,114.40
  6. Step 6: Final answer
    x = 5,025.12

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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.