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Finding the Fourth Proportional to 14,893.38, 22,340.16 and 6,122.16

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Solution

The fourth proportional to 14,893.38, 22,340.16 and 6,122.16 is: 9,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.38 : 22,340.16 = 6,122.16 : x
  2. Step 2: Convert to fraction form
    14,893.38/22,340.16 = 6,122.16/x
  3. Step 3: Cross multiply
    14,893.38x = 22,340.16 × 6,122.16
  4. Step 4: Simplify right side
    14,893.38x = 136,770,033.95
  5. Step 5: Solve for x
    x = 136,770,033.95/14,893.38
  6. Step 6: Final answer
    x = 9,183.28

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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.