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Finding the Fourth Proportional to 22,295.04, 30,769.92 and 13,920

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Solution

The fourth proportional to 22,295.04, 30,769.92 and 13,920 is: 19,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.04 : 30,769.92 = 13,920 : x
  2. Step 2: Convert to fraction form
    22,295.04/30,769.92 = 13,920/x
  3. Step 3: Cross multiply
    22,295.04x = 30,769.92 × 13,920
  4. Step 4: Simplify right side
    22,295.04x = 428,317,286.40
  5. Step 5: Solve for x
    x = 428,317,286.40/22,295.04
  6. Step 6: Final answer
    x = 19,211.33

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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.