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Finding the Fourth Proportional to 12,137.40, 18,195.30 and 10,825.20

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Solution

The fourth proportional to 12,137.40, 18,195.30 and 10,825.20 is: 16,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.40 : 18,195.30 = 10,825.20 : x
  2. Step 2: Convert to fraction form
    12,137.40/18,195.30 = 10,825.20/x
  3. Step 3: Cross multiply
    12,137.40x = 18,195.30 × 10,825.20
  4. Step 4: Simplify right side
    12,137.40x = 196,967,761.56
  5. Step 5: Solve for x
    x = 196,967,761.56/12,137.40
  6. Step 6: Final answer
    x = 16,228.17

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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.