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Finding the Fourth Proportional to 26,552.97, 36,643.10 and 14,616.25

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Solution

The fourth proportional to 26,552.97, 36,643.10 and 14,616.25 is: 20,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,552.97 : 36,643.10 = 14,616.25 : x
  2. Step 2: Convert to fraction form
    26,552.97/36,643.10 = 14,616.25/x
  3. Step 3: Cross multiply
    26,552.97x = 36,643.10 × 14,616.25
  4. Step 4: Simplify right side
    26,552.97x = 535,584,710.38
  5. Step 5: Solve for x
    x = 535,584,710.38/26,552.97
  6. Step 6: Final answer
    x = 20,170.43

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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.