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Finding the Fourth Proportional to 23,820.84, 32,797.94 and 20,228.44

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Solution

The fourth proportional to 23,820.84, 32,797.94 and 20,228.44 is: 27,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.84 : 32,797.94 = 20,228.44 : x
  2. Step 2: Convert to fraction form
    23,820.84/32,797.94 = 20,228.44/x
  3. Step 3: Cross multiply
    23,820.84x = 32,797.94 × 20,228.44
  4. Step 4: Simplify right side
    23,820.84x = 663,451,161.41
  5. Step 5: Solve for x
    x = 663,451,161.41/23,820.84
  6. Step 6: Final answer
    x = 27,851.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.