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Finding the Fourth Proportional to 21,524.64, 32,286.80 and 5,942.26

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Solution

The fourth proportional to 21,524.64, 32,286.80 and 5,942.26 is: 8,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.64 : 32,286.80 = 5,942.26 : x
  2. Step 2: Convert to fraction form
    21,524.64/32,286.80 = 5,942.26/x
  3. Step 3: Cross multiply
    21,524.64x = 32,286.80 × 5,942.26
  4. Step 4: Simplify right side
    21,524.64x = 191,856,615.38
  5. Step 5: Solve for x
    x = 191,856,615.38/21,524.64
  6. Step 6: Final answer
    x = 8,913.35

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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.