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Finding the Fourth Proportional to 16,171.23, 24,250.78 and 5,638.54

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Solution

The fourth proportional to 16,171.23, 24,250.78 and 5,638.54 is: 8,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.23 : 24,250.78 = 5,638.54 : x
  2. Step 2: Convert to fraction form
    16,171.23/24,250.78 = 5,638.54/x
  3. Step 3: Cross multiply
    16,171.23x = 24,250.78 × 5,638.54
  4. Step 4: Simplify right side
    16,171.23x = 136,738,993.06
  5. Step 5: Solve for x
    x = 136,738,993.06/16,171.23
  6. Step 6: Final answer
    x = 8,455.70

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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.