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Finding the Fourth Proportional to 21,462.67, 32,198.11 and 6,671.72

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Solution

The fourth proportional to 21,462.67, 32,198.11 and 6,671.72 is: 10,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.67 : 32,198.11 = 6,671.72 : x
  2. Step 2: Convert to fraction form
    21,462.67/32,198.11 = 6,671.72/x
  3. Step 3: Cross multiply
    21,462.67x = 32,198.11 × 6,671.72
  4. Step 4: Simplify right side
    21,462.67x = 214,816,657.15
  5. Step 5: Solve for x
    x = 214,816,657.15/21,462.67
  6. Step 6: Final answer
    x = 10,008.85

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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.