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Finding the Fourth Proportional to 21,682.31, 32,523.46 and 6,099.93

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Solution

The fourth proportional to 21,682.31, 32,523.46 and 6,099.93 is: 9,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.31 : 32,523.46 = 6,099.93 : x
  2. Step 2: Convert to fraction form
    21,682.31/32,523.46 = 6,099.93/x
  3. Step 3: Cross multiply
    21,682.31x = 32,523.46 × 6,099.93
  4. Step 4: Simplify right side
    21,682.31x = 198,390,814.11
  5. Step 5: Solve for x
    x = 198,390,814.11/21,682.31
  6. Step 6: Final answer
    x = 9,149.90

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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.