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Finding the Fourth Proportional to 26,553.17, 36,643.07 and 14,616.24

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Solution

The fourth proportional to 26,553.17, 36,643.07 and 14,616.24 is: 20,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,553.17 : 36,643.07 = 14,616.24 : x
  2. Step 2: Convert to fraction form
    26,553.17/36,643.07 = 14,616.24/x
  3. Step 3: Cross multiply
    26,553.17x = 36,643.07 × 14,616.24
  4. Step 4: Simplify right side
    26,553.17x = 535,583,832.38
  5. Step 5: Solve for x
    x = 535,583,832.38/26,553.17
  6. Step 6: Final answer
    x = 20,170.24

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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.