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Finding the Fourth Proportional to 21,216.66, 31,825 and 5,634.29

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Solution

The fourth proportional to 21,216.66, 31,825 and 5,634.29 is: 8,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.66 : 31,825 = 5,634.29 : x
  2. Step 2: Convert to fraction form
    21,216.66/31,825 = 5,634.29/x
  3. Step 3: Cross multiply
    21,216.66x = 31,825 × 5,634.29
  4. Step 4: Simplify right side
    21,216.66x = 179,311,120.13
  5. Step 5: Solve for x
    x = 179,311,120.13/21,216.66
  6. Step 6: Final answer
    x = 8,451.43

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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.