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Finding the Fourth Proportional to 26,549.64, 36,633.45 and 16,982.20

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Solution

The fourth proportional to 26,549.64, 36,633.45 and 16,982.20 is: 23,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.64 : 36,633.45 = 16,982.20 : x
  2. Step 2: Convert to fraction form
    26,549.64/36,633.45 = 16,982.20/x
  3. Step 3: Cross multiply
    26,549.64x = 36,633.45 × 16,982.20
  4. Step 4: Simplify right side
    26,549.64x = 622,116,620.38
  5. Step 5: Solve for x
    x = 622,116,620.38/26,549.64
  6. Step 6: Final answer
    x = 23,432.20

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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.