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Finding the Fourth Proportional to 12,215.68, 18,323.20 and 2,981.60

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Solution

The fourth proportional to 12,215.68, 18,323.20 and 2,981.60 is: 4,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.68 : 18,323.20 = 2,981.60 : x
  2. Step 2: Convert to fraction form
    12,215.68/18,323.20 = 2,981.60/x
  3. Step 3: Cross multiply
    12,215.68x = 18,323.20 × 2,981.60
  4. Step 4: Simplify right side
    12,215.68x = 54,632,453.12
  5. Step 5: Solve for x
    x = 54,632,453.12/12,215.68
  6. Step 6: Final answer
    x = 4,472.32

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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.