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Finding the Fourth Proportional to 21,942.38, 32,932 and 9,471.82

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Solution

The fourth proportional to 21,942.38, 32,932 and 9,471.82 is: 14,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.38 : 32,932 = 9,471.82 : x
  2. Step 2: Convert to fraction form
    21,942.38/32,932 = 9,471.82/x
  3. Step 3: Cross multiply
    21,942.38x = 32,932 × 9,471.82
  4. Step 4: Simplify right side
    21,942.38x = 311,925,976.24
  5. Step 5: Solve for x
    x = 311,925,976.24/21,942.38
  6. Step 6: Final answer
    x = 14,215.69

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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.