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Finding the Fourth Proportional to 21,221.80, 31,832.66 and 5,639.42

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Solution

The fourth proportional to 21,221.80, 31,832.66 and 5,639.42 is: 8,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.80 : 31,832.66 = 5,639.42 : x
  2. Step 2: Convert to fraction form
    21,221.80/31,832.66 = 5,639.42/x
  3. Step 3: Cross multiply
    21,221.80x = 31,832.66 × 5,639.42
  4. Step 4: Simplify right side
    21,221.80x = 179,517,833.14
  5. Step 5: Solve for x
    x = 179,517,833.14/21,221.80
  6. Step 6: Final answer
    x = 8,459.12

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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.