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Finding the Fourth Proportional to 13,138.48, 19,708.96 and 3,778.48

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Solution

The fourth proportional to 13,138.48, 19,708.96 and 3,778.48 is: 5,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.48 : 19,708.96 = 3,778.48 : x
  2. Step 2: Convert to fraction form
    13,138.48/19,708.96 = 3,778.48/x
  3. Step 3: Cross multiply
    13,138.48x = 19,708.96 × 3,778.48
  4. Step 4: Simplify right side
    13,138.48x = 74,469,911.18
  5. Step 5: Solve for x
    x = 74,469,911.18/13,138.48
  6. Step 6: Final answer
    x = 5,668.08

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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.