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Finding the Fourth Proportional to 20,801.26, 31,201.81 and 5,218.88

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Solution

The fourth proportional to 20,801.26, 31,201.81 and 5,218.88 is: 7,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.26 : 31,201.81 = 5,218.88 : x
  2. Step 2: Convert to fraction form
    20,801.26/31,201.81 = 5,218.88/x
  3. Step 3: Cross multiply
    20,801.26x = 31,201.81 × 5,218.88
  4. Step 4: Simplify right side
    20,801.26x = 162,838,508.63
  5. Step 5: Solve for x
    x = 162,838,508.63/20,801.26
  6. Step 6: Final answer
    x = 7,828.30

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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.