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Finding the Fourth Proportional to 39,764.50, 59,645.19 and 13,469.24

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Solution

The fourth proportional to 39,764.50, 59,645.19 and 13,469.24 is: 20,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,764.50 : 59,645.19 = 13,469.24 : x
  2. Step 2: Convert to fraction form
    39,764.50/59,645.19 = 13,469.24/x
  3. Step 3: Cross multiply
    39,764.50x = 59,645.19 × 13,469.24
  4. Step 4: Simplify right side
    39,764.50x = 803,375,578.58
  5. Step 5: Solve for x
    x = 803,375,578.58/39,764.50
  6. Step 6: Final answer
    x = 20,203.34

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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.