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Finding the Fourth Proportional to 26,783.18, 36,963 and 14,850.26

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Solution

The fourth proportional to 26,783.18, 36,963 and 14,850.26 is: 20,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783.18 : 36,963 = 14,850.26 : x
  2. Step 2: Convert to fraction form
    26,783.18/36,963 = 14,850.26/x
  3. Step 3: Cross multiply
    26,783.18x = 36,963 × 14,850.26
  4. Step 4: Simplify right side
    26,783.18x = 548,910,160.38
  5. Step 5: Solve for x
    x = 548,910,160.38/26,783.18
  6. Step 6: Final answer
    x = 20,494.59

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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.