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Finding the Fourth Proportional to 12,783.20, 17,640.80 and 7,194.24

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Solution

The fourth proportional to 12,783.20, 17,640.80 and 7,194.24 is: 9,928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.20 : 17,640.80 = 7,194.24 : x
  2. Step 2: Convert to fraction form
    12,783.20/17,640.80 = 7,194.24/x
  3. Step 3: Cross multiply
    12,783.20x = 17,640.80 × 7,194.24
  4. Step 4: Simplify right side
    12,783.20x = 126,912,148.99
  5. Step 5: Solve for x
    x = 126,912,148.99/12,783.20
  6. Step 6: Final answer
    x = 9,928.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.