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Finding the Fourth Proportional to 13,296.80, 19,945.20 and 9,149.60

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Solution

The fourth proportional to 13,296.80, 19,945.20 and 9,149.60 is: 13,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296.80 : 19,945.20 = 9,149.60 : x
  2. Step 2: Convert to fraction form
    13,296.80/19,945.20 = 9,149.60/x
  3. Step 3: Cross multiply
    13,296.80x = 19,945.20 × 9,149.60
  4. Step 4: Simplify right side
    13,296.80x = 182,490,601.92
  5. Step 5: Solve for x
    x = 182,490,601.92/13,296.80
  6. Step 6: Final answer
    x = 13,724.40

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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.