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Finding the Fourth Proportional to 17,671.16, 26,502.62 and 5,187.85

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Solution

The fourth proportional to 17,671.16, 26,502.62 and 5,187.85 is: 7,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.16 : 26,502.62 = 5,187.85 : x
  2. Step 2: Convert to fraction form
    17,671.16/26,502.62 = 5,187.85/x
  3. Step 3: Cross multiply
    17,671.16x = 26,502.62 × 5,187.85
  4. Step 4: Simplify right side
    17,671.16x = 137,491,524.97
  5. Step 5: Solve for x
    x = 137,491,524.97/17,671.16
  6. Step 6: Final answer
    x = 7,780.56

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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.