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Finding the Fourth Proportional to 26,496.38, 36,565.44 and 14,560.22

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Solution

The fourth proportional to 26,496.38, 36,565.44 and 14,560.22 is: 20,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496.38 : 36,565.44 = 14,560.22 : x
  2. Step 2: Convert to fraction form
    26,496.38/36,565.44 = 14,560.22/x
  3. Step 3: Cross multiply
    26,496.38x = 36,565.44 × 14,560.22
  4. Step 4: Simplify right side
    26,496.38x = 532,400,850.80
  5. Step 5: Solve for x
    x = 532,400,850.80/26,496.38
  6. Step 6: Final answer
    x = 20,093.34

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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.