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Finding the Fourth Proportional to 12,225.76, 18,340.08 and 3,906.24

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Solution

The fourth proportional to 12,225.76, 18,340.08 and 3,906.24 is: 5,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.76 : 18,340.08 = 3,906.24 : x
  2. Step 2: Convert to fraction form
    12,225.76/18,340.08 = 3,906.24/x
  3. Step 3: Cross multiply
    12,225.76x = 18,340.08 × 3,906.24
  4. Step 4: Simplify right side
    12,225.76x = 71,640,754.10
  5. Step 5: Solve for x
    x = 71,640,754.10/12,225.76
  6. Step 6: Final answer
    x = 5,859.82

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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.