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Finding the Fourth Proportional to 22,807.95, 31,489.79 and 20,413.78

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Solution

The fourth proportional to 22,807.95, 31,489.79 and 20,413.78 is: 28,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.95 : 31,489.79 = 20,413.78 : x
  2. Step 2: Convert to fraction form
    22,807.95/31,489.79 = 20,413.78/x
  3. Step 3: Cross multiply
    22,807.95x = 31,489.79 × 20,413.78
  4. Step 4: Simplify right side
    22,807.95x = 642,825,610.49
  5. Step 5: Solve for x
    x = 642,825,610.49/22,807.95
  6. Step 6: Final answer
    x = 28,184.27

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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.