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Finding the Fourth Proportional to 16,735.95, 25,086.41 and 5,638.80

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Solution

The fourth proportional to 16,735.95, 25,086.41 and 5,638.80 is: 8,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.95 : 25,086.41 = 5,638.80 : x
  2. Step 2: Convert to fraction form
    16,735.95/25,086.41 = 5,638.80/x
  3. Step 3: Cross multiply
    16,735.95x = 25,086.41 × 5,638.80
  4. Step 4: Simplify right side
    16,735.95x = 141,457,335.73
  5. Step 5: Solve for x
    x = 141,457,335.73/16,735.95
  6. Step 6: Final answer
    x = 8,452.30

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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.