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Finding the Fourth Proportional to 21,404.44, 32,101.14 and 6,408.60

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Solution

The fourth proportional to 21,404.44, 32,101.14 and 6,408.60 is: 9,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.44 : 32,101.14 = 6,408.60 : x
  2. Step 2: Convert to fraction form
    21,404.44/32,101.14 = 6,408.60/x
  3. Step 3: Cross multiply
    21,404.44x = 32,101.14 × 6,408.60
  4. Step 4: Simplify right side
    21,404.44x = 205,723,365.80
  5. Step 5: Solve for x
    x = 205,723,365.80/21,404.44
  6. Step 6: Final answer
    x = 9,611.25

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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.