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Finding the Fourth Proportional to 21,523.18, 32,286.62 and 5,940.80

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Solution

The fourth proportional to 21,523.18, 32,286.62 and 5,940.80 is: 8,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.18 : 32,286.62 = 5,940.80 : x
  2. Step 2: Convert to fraction form
    21,523.18/32,286.62 = 5,940.80/x
  3. Step 3: Cross multiply
    21,523.18x = 32,286.62 × 5,940.80
  4. Step 4: Simplify right side
    21,523.18x = 191,808,322.39
  5. Step 5: Solve for x
    x = 191,808,322.39/21,523.18
  6. Step 6: Final answer
    x = 8,911.71

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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.