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Finding the Fourth Proportional to 30,991.36, 42,774.28 and 18,413.68

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Solution

The fourth proportional to 30,991.36, 42,774.28 and 18,413.68 is: 25,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.36 : 42,774.28 = 18,413.68 : x
  2. Step 2: Convert to fraction form
    30,991.36/42,774.28 = 18,413.68/x
  3. Step 3: Cross multiply
    30,991.36x = 42,774.28 × 18,413.68
  4. Step 4: Simplify right side
    30,991.36x = 787,631,904.15
  5. Step 5: Solve for x
    x = 787,631,904.15/30,991.36
  6. Step 6: Final answer
    x = 25,414.56

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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.