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Finding the Fourth Proportional to 21,181.47, 31,772.21 and 7,327.23

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Solution

The fourth proportional to 21,181.47, 31,772.21 and 7,327.23 is: 10,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.47 : 31,772.21 = 7,327.23 : x
  2. Step 2: Convert to fraction form
    21,181.47/31,772.21 = 7,327.23/x
  3. Step 3: Cross multiply
    21,181.47x = 31,772.21 × 7,327.23
  4. Step 4: Simplify right side
    21,181.47x = 232,802,253.64
  5. Step 5: Solve for x
    x = 232,802,253.64/21,181.47
  6. Step 6: Final answer
    x = 10,990.85

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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.