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Finding the Fourth Proportional to 23,926, 35,826.48 and 20,167.84

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Solution

The fourth proportional to 23,926, 35,826.48 and 20,167.84 is: 30,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,926 : 35,826.48 = 20,167.84 : x
  2. Step 2: Convert to fraction form
    23,926/35,826.48 = 20,167.84/x
  3. Step 3: Cross multiply
    23,926x = 35,826.48 × 20,167.84
  4. Step 4: Simplify right side
    23,926x = 722,542,716.40
  5. Step 5: Solve for x
    x = 722,542,716.40/23,926
  6. Step 6: Final answer
    x = 30,199.06

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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.