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Finding the Fourth Proportional to 16,735.68, 25,104.74 and 5,642.73

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Solution

The fourth proportional to 16,735.68, 25,104.74 and 5,642.73 is: 8,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.68 : 25,104.74 = 5,642.73 : x
  2. Step 2: Convert to fraction form
    16,735.68/25,104.74 = 5,642.73/x
  3. Step 3: Cross multiply
    16,735.68x = 25,104.74 × 5,642.73
  4. Step 4: Simplify right side
    16,735.68x = 141,659,241.33
  5. Step 5: Solve for x
    x = 141,659,241.33/16,735.68
  6. Step 6: Final answer
    x = 8,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.