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Finding the Fourth Proportional to 13,344, 18,414.91 and 7,755

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Solution

The fourth proportional to 13,344, 18,414.91 and 7,755 is: 10,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344 : 18,414.91 = 7,755 : x
  2. Step 2: Convert to fraction form
    13,344/18,414.91 = 7,755/x
  3. Step 3: Cross multiply
    13,344x = 18,414.91 × 7,755
  4. Step 4: Simplify right side
    13,344x = 142,807,627.05
  5. Step 5: Solve for x
    x = 142,807,627.05/13,344
  6. Step 6: Final answer
    x = 10,702.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.