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Finding the Fourth Proportional to 25,152.68, 34,705.94 and 16,198.44

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Solution

The fourth proportional to 25,152.68, 34,705.94 and 16,198.44 is: 22,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.68 : 34,705.94 = 16,198.44 : x
  2. Step 2: Convert to fraction form
    25,152.68/34,705.94 = 16,198.44/x
  3. Step 3: Cross multiply
    25,152.68x = 34,705.94 × 16,198.44
  4. Step 4: Simplify right side
    25,152.68x = 562,182,086.73
  5. Step 5: Solve for x
    x = 562,182,086.73/25,152.68
  6. Step 6: Final answer
    x = 22,350.78

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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.