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Finding the Fourth Proportional to 23,117.87, 31,902.73 and 13,046.33

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Solution

The fourth proportional to 23,117.87, 31,902.73 and 13,046.33 is: 18,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.87 : 31,902.73 = 13,046.33 : x
  2. Step 2: Convert to fraction form
    23,117.87/31,902.73 = 13,046.33/x
  3. Step 3: Cross multiply
    23,117.87x = 31,902.73 × 13,046.33
  4. Step 4: Simplify right side
    23,117.87x = 416,213,590.62
  5. Step 5: Solve for x
    x = 416,213,590.62/23,117.87
  6. Step 6: Final answer
    x = 18,003.97

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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.