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Finding the Fourth Proportional to 26,516.28, 36,577.26 and 16,563

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Solution

The fourth proportional to 26,516.28, 36,577.26 and 16,563 is: 22,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516.28 : 36,577.26 = 16,563 : x
  2. Step 2: Convert to fraction form
    26,516.28/36,577.26 = 16,563/x
  3. Step 3: Cross multiply
    26,516.28x = 36,577.26 × 16,563
  4. Step 4: Simplify right side
    26,516.28x = 605,829,157.38
  5. Step 5: Solve for x
    x = 605,829,157.38/26,516.28
  6. Step 6: Final answer
    x = 22,847.44

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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.