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Finding the Fourth Proportional to 22,296.86, 30,770.64 and 13,342.66

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Solution

The fourth proportional to 22,296.86, 30,770.64 and 13,342.66 is: 18,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.86 : 30,770.64 = 13,342.66 : x
  2. Step 2: Convert to fraction form
    22,296.86/30,770.64 = 13,342.66/x
  3. Step 3: Cross multiply
    22,296.86x = 30,770.64 × 13,342.66
  4. Step 4: Simplify right side
    22,296.86x = 410,562,187.50
  5. Step 5: Solve for x
    x = 410,562,187.50/22,296.86
  6. Step 6: Final answer
    x = 18,413.45

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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.