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Finding the Fourth Proportional to 24,642.50, 33,994.79 and 16,140.94

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Solution

The fourth proportional to 24,642.50, 33,994.79 and 16,140.94 is: 22,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.50 : 33,994.79 = 16,140.94 : x
  2. Step 2: Convert to fraction form
    24,642.50/33,994.79 = 16,140.94/x
  3. Step 3: Cross multiply
    24,642.50x = 33,994.79 × 16,140.94
  4. Step 4: Simplify right side
    24,642.50x = 548,707,760.54
  5. Step 5: Solve for x
    x = 548,707,760.54/24,642.50
  6. Step 6: Final answer
    x = 22,266.73

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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.