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Finding the Fourth Proportional to 12,146.40, 18,219.60 and 10,195.20

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Solution

The fourth proportional to 12,146.40, 18,219.60 and 10,195.20 is: 15,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.40 : 18,219.60 = 10,195.20 : x
  2. Step 2: Convert to fraction form
    12,146.40/18,219.60 = 10,195.20/x
  3. Step 3: Cross multiply
    12,146.40x = 18,219.60 × 10,195.20
  4. Step 4: Simplify right side
    12,146.40x = 185,752,465.92
  5. Step 5: Solve for x
    x = 185,752,465.92/12,146.40
  6. Step 6: Final answer
    x = 15,292.80

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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.