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Finding the Fourth Proportional to 21,524.68, 32,288.87 and 5,942.31

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Solution

The fourth proportional to 21,524.68, 32,288.87 and 5,942.31 is: 8,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.68 : 32,288.87 = 5,942.31 : x
  2. Step 2: Convert to fraction form
    21,524.68/32,288.87 = 5,942.31/x
  3. Step 3: Cross multiply
    21,524.68x = 32,288.87 × 5,942.31
  4. Step 4: Simplify right side
    21,524.68x = 191,870,475.09
  5. Step 5: Solve for x
    x = 191,870,475.09/21,524.68
  6. Step 6: Final answer
    x = 8,913.98

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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.