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Finding the Fourth Proportional to 21,524.12, 32,286.92 and 5,941.88

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Solution

The fourth proportional to 21,524.12, 32,286.92 and 5,941.88 is: 8,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.12 : 32,286.92 = 5,941.88 : x
  2. Step 2: Convert to fraction form
    21,524.12/32,286.92 = 5,941.88/x
  3. Step 3: Cross multiply
    21,524.12x = 32,286.92 × 5,941.88
  4. Step 4: Simplify right side
    21,524.12x = 191,845,004.21
  5. Step 5: Solve for x
    x = 191,845,004.21/21,524.12
  6. Step 6: Final answer
    x = 8,913.02

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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.