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Finding the Fourth Proportional to 22,761.57, 31,416.00 and 14,789.96

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Solution

The fourth proportional to 22,761.57, 31,416.00 and 14,789.96 is: 20,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.57 : 31,416.00 = 14,789.96 : x
  2. Step 2: Convert to fraction form
    22,761.57/31,416.00 = 14,789.96/x
  3. Step 3: Cross multiply
    22,761.57x = 31,416.00 × 14,789.96
  4. Step 4: Simplify right side
    22,761.57x = 464,641,371.82
  5. Step 5: Solve for x
    x = 464,641,371.82/22,761.57
  6. Step 6: Final answer
    x = 20,413.41

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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.