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Finding the Fourth Proportional to 21,838.15, 32,761.41 and 7,043.09

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Solution

The fourth proportional to 21,838.15, 32,761.41 and 7,043.09 is: 10,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.15 : 32,761.41 = 7,043.09 : x
  2. Step 2: Convert to fraction form
    21,838.15/32,761.41 = 7,043.09/x
  3. Step 3: Cross multiply
    21,838.15x = 32,761.41 × 7,043.09
  4. Step 4: Simplify right side
    21,838.15x = 230,741,523.94
  5. Step 5: Solve for x
    x = 230,741,523.94/21,838.15
  6. Step 6: Final answer
    x = 10,565.99

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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.