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Finding the Fourth Proportional to 21,471.14, 32,216.30 and 8,324.54

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Solution

The fourth proportional to 21,471.14, 32,216.30 and 8,324.54 is: 12,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.14 : 32,216.30 = 8,324.54 : x
  2. Step 2: Convert to fraction form
    21,471.14/32,216.30 = 8,324.54/x
  3. Step 3: Cross multiply
    21,471.14x = 32,216.30 × 8,324.54
  4. Step 4: Simplify right side
    21,471.14x = 268,185,827.33
  5. Step 5: Solve for x
    x = 268,185,827.33/21,471.14
  6. Step 6: Final answer
    x = 12,490.52

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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.