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Finding the Fourth Proportional to 12,336.40, 18,468.24 and 7,940.80

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Solution

The fourth proportional to 12,336.40, 18,468.24 and 7,940.80 is: 11,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.40 : 18,468.24 = 7,940.80 : x
  2. Step 2: Convert to fraction form
    12,336.40/18,468.24 = 7,940.80/x
  3. Step 3: Cross multiply
    12,336.40x = 18,468.24 × 7,940.80
  4. Step 4: Simplify right side
    12,336.40x = 146,652,600.19
  5. Step 5: Solve for x
    x = 146,652,600.19/12,336.40
  6. Step 6: Final answer
    x = 11,887.80

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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.