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Finding the Fourth Proportional to 21,086.08, 31,633.92 and 7,234.24

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Solution

The fourth proportional to 21,086.08, 31,633.92 and 7,234.24 is: 10,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.08 : 31,633.92 = 7,234.24 : x
  2. Step 2: Convert to fraction form
    21,086.08/31,633.92 = 7,234.24/x
  3. Step 3: Cross multiply
    21,086.08x = 31,633.92 × 7,234.24
  4. Step 4: Simplify right side
    21,086.08x = 228,847,369.42
  5. Step 5: Solve for x
    x = 228,847,369.42/21,086.08
  6. Step 6: Final answer
    x = 10,853.01

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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.