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Finding the Fourth Proportional to 22,406.86, 33,615.34 and 7,413.94

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Solution

The fourth proportional to 22,406.86, 33,615.34 and 7,413.94 is: 11,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.86 : 33,615.34 = 7,413.94 : x
  2. Step 2: Convert to fraction form
    22,406.86/33,615.34 = 7,413.94/x
  3. Step 3: Cross multiply
    22,406.86x = 33,615.34 × 7,413.94
  4. Step 4: Simplify right side
    22,406.86x = 249,222,113.84
  5. Step 5: Solve for x
    x = 249,222,113.84/22,406.86
  6. Step 6: Final answer
    x = 11,122.58

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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.