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Finding the Fourth Proportional to 13,251.78, 19,880.10 and 5,456.34

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Solution

The fourth proportional to 13,251.78, 19,880.10 and 5,456.34 is: 8,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.78 : 19,880.10 = 5,456.34 : x
  2. Step 2: Convert to fraction form
    13,251.78/19,880.10 = 5,456.34/x
  3. Step 3: Cross multiply
    13,251.78x = 19,880.10 × 5,456.34
  4. Step 4: Simplify right side
    13,251.78x = 108,472,584.83
  5. Step 5: Solve for x
    x = 108,472,584.83/13,251.78
  6. Step 6: Final answer
    x = 8,185.51

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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.