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Finding the Fourth Proportional to 12,879.50, 17,771.67 and 7,502.82

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Solution

The fourth proportional to 12,879.50, 17,771.67 and 7,502.82 is: 10,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.50 : 17,771.67 = 7,502.82 : x
  2. Step 2: Convert to fraction form
    12,879.50/17,771.67 = 7,502.82/x
  3. Step 3: Cross multiply
    12,879.50x = 17,771.67 × 7,502.82
  4. Step 4: Simplify right side
    12,879.50x = 133,337,641.11
  5. Step 5: Solve for x
    x = 133,337,641.11/12,879.50
  6. Step 6: Final answer
    x = 10,352.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.