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Finding the Fourth Proportional to 23,739, 32,738.14 and 20,380.74

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Solution

The fourth proportional to 23,739, 32,738.14 and 20,380.74 is: 28,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,739 : 32,738.14 = 20,380.74 : x
  2. Step 2: Convert to fraction form
    23,739/32,738.14 = 20,380.74/x
  3. Step 3: Cross multiply
    23,739x = 32,738.14 × 20,380.74
  4. Step 4: Simplify right side
    23,739x = 667,227,519.42
  5. Step 5: Solve for x
    x = 667,227,519.42/23,739
  6. Step 6: Final answer
    x = 28,106.81

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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.