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Finding the Fourth Proportional to 12,413.68, 18,633.78 and 5,022.97

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Solution

The fourth proportional to 12,413.68, 18,633.78 and 5,022.97 is: 7,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.68 : 18,633.78 = 5,022.97 : x
  2. Step 2: Convert to fraction form
    12,413.68/18,633.78 = 5,022.97/x
  3. Step 3: Cross multiply
    12,413.68x = 18,633.78 × 5,022.97
  4. Step 4: Simplify right side
    12,413.68x = 93,596,871.34
  5. Step 5: Solve for x
    x = 93,596,871.34/12,413.68
  6. Step 6: Final answer
    x = 7,539.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.