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Finding the Fourth Proportional to 13,684.26, 20,518.20 and 6,650.44

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Solution

The fourth proportional to 13,684.26, 20,518.20 and 6,650.44 is: 9,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.26 : 20,518.20 = 6,650.44 : x
  2. Step 2: Convert to fraction form
    13,684.26/20,518.20 = 6,650.44/x
  3. Step 3: Cross multiply
    13,684.26x = 20,518.20 × 6,650.44
  4. Step 4: Simplify right side
    13,684.26x = 136,455,058.01
  5. Step 5: Solve for x
    x = 136,455,058.01/13,684.26
  6. Step 6: Final answer
    x = 9,971.68

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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.