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Finding the Fourth Proportional to 22,761.96, 31,413.56 and 13,811.72

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Solution

The fourth proportional to 22,761.96, 31,413.56 and 13,811.72 is: 19,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.96 : 31,413.56 = 13,811.72 : x
  2. Step 2: Convert to fraction form
    22,761.96/31,413.56 = 13,811.72/x
  3. Step 3: Cross multiply
    22,761.96x = 31,413.56 × 13,811.72
  4. Step 4: Simplify right side
    22,761.96x = 433,875,294.92
  5. Step 5: Solve for x
    x = 433,875,294.92/22,761.96
  6. Step 6: Final answer
    x = 19,061.42

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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.