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Finding the Fourth Proportional to 21,229.68, 31,845.12 and 5,647.32

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Solution

The fourth proportional to 21,229.68, 31,845.12 and 5,647.32 is: 8,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.68 : 31,845.12 = 5,647.32 : x
  2. Step 2: Convert to fraction form
    21,229.68/31,845.12 = 5,647.32/x
  3. Step 3: Cross multiply
    21,229.68x = 31,845.12 × 5,647.32
  4. Step 4: Simplify right side
    21,229.68x = 179,839,583.08
  5. Step 5: Solve for x
    x = 179,839,583.08/21,229.68
  6. Step 6: Final answer
    x = 8,471.14

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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.