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Finding the Fourth Proportional to 21,468.21, 32,202.59 and 6,676.80

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Solution

The fourth proportional to 21,468.21, 32,202.59 and 6,676.80 is: 10,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468.21 : 32,202.59 = 6,676.80 : x
  2. Step 2: Convert to fraction form
    21,468.21/32,202.59 = 6,676.80/x
  3. Step 3: Cross multiply
    21,468.21x = 32,202.59 × 6,676.80
  4. Step 4: Simplify right side
    21,468.21x = 215,010,252.91
  5. Step 5: Solve for x
    x = 215,010,252.91/21,468.21
  6. Step 6: Final answer
    x = 10,015.29

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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.