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Finding the Fourth Proportional to 19,456.80, 29,184.92 and 13,201.28

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Solution

The fourth proportional to 19,456.80, 29,184.92 and 13,201.28 is: 19,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456.80 : 29,184.92 = 13,201.28 : x
  2. Step 2: Convert to fraction form
    19,456.80/29,184.92 = 13,201.28/x
  3. Step 3: Cross multiply
    19,456.80x = 29,184.92 × 13,201.28
  4. Step 4: Simplify right side
    19,456.80x = 385,278,300.70
  5. Step 5: Solve for x
    x = 385,278,300.70/19,456.80
  6. Step 6: Final answer
    x = 19,801.73

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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.