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Finding the Fourth Proportional to 13,161.60, 19,738.80 and 5,371.20

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Solution

The fourth proportional to 13,161.60, 19,738.80 and 5,371.20 is: 8,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.60 : 19,738.80 = 5,371.20 : x
  2. Step 2: Convert to fraction form
    13,161.60/19,738.80 = 5,371.20/x
  3. Step 3: Cross multiply
    13,161.60x = 19,738.80 × 5,371.20
  4. Step 4: Simplify right side
    13,161.60x = 106,021,042.56
  5. Step 5: Solve for x
    x = 106,021,042.56/13,161.60
  6. Step 6: Final answer
    x = 8,055.33

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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.