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Finding the Fourth Proportional to 22,205.70, 30,643.37 and 12,134.19

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Solution

The fourth proportional to 22,205.70, 30,643.37 and 12,134.19 is: 16,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.70 : 30,643.37 = 12,134.19 : x
  2. Step 2: Convert to fraction form
    22,205.70/30,643.37 = 12,134.19/x
  3. Step 3: Cross multiply
    22,205.70x = 30,643.37 × 12,134.19
  4. Step 4: Simplify right side
    22,205.70x = 371,832,413.15
  5. Step 5: Solve for x
    x = 371,832,413.15/22,205.70
  6. Step 6: Final answer
    x = 16,744.91

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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.