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Finding the Fourth Proportional to 21,991.26, 32,989.86 and 6,408.75

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Solution

The fourth proportional to 21,991.26, 32,989.86 and 6,408.75 is: 9,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.26 : 32,989.86 = 6,408.75 : x
  2. Step 2: Convert to fraction form
    21,991.26/32,989.86 = 6,408.75/x
  3. Step 3: Cross multiply
    21,991.26x = 32,989.86 × 6,408.75
  4. Step 4: Simplify right side
    21,991.26x = 211,423,765.28
  5. Step 5: Solve for x
    x = 211,423,765.28/21,991.26
  6. Step 6: Final answer
    x = 9,613.99

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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.