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Finding the Fourth Proportional to 17,662, 26,493.06 and 5,350

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Solution

The fourth proportional to 17,662, 26,493.06 and 5,350 is: 8,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662 : 26,493.06 = 5,350 : x
  2. Step 2: Convert to fraction form
    17,662/26,493.06 = 5,350/x
  3. Step 3: Cross multiply
    17,662x = 26,493.06 × 5,350
  4. Step 4: Simplify right side
    17,662x = 141,737,871
  5. Step 5: Solve for x
    x = 141,737,871/17,662
  6. Step 6: Final answer
    x = 8,025.02

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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.