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Finding the Fourth Proportional to 13,874.49, 20,814.62 and 4,640.25

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Solution

The fourth proportional to 13,874.49, 20,814.62 and 4,640.25 is: 6,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.49 : 20,814.62 = 4,640.25 : x
  2. Step 2: Convert to fraction form
    13,874.49/20,814.62 = 4,640.25/x
  3. Step 3: Cross multiply
    13,874.49x = 20,814.62 × 4,640.25
  4. Step 4: Simplify right side
    13,874.49x = 96,585,040.46
  5. Step 5: Solve for x
    x = 96,585,040.46/13,874.49
  6. Step 6: Final answer
    x = 6,961.34

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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.