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Finding the Fourth Proportional to 24,022.78, 33,150.02 and 13,413.08

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Solution

The fourth proportional to 24,022.78, 33,150.02 and 13,413.08 is: 18,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.78 : 33,150.02 = 13,413.08 : x
  2. Step 2: Convert to fraction form
    24,022.78/33,150.02 = 13,413.08/x
  3. Step 3: Cross multiply
    24,022.78x = 33,150.02 × 13,413.08
  4. Step 4: Simplify right side
    24,022.78x = 444,643,870.26
  5. Step 5: Solve for x
    x = 444,643,870.26/24,022.78
  6. Step 6: Final answer
    x = 18,509.26

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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.