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Finding the Fourth Proportional to 26,068.82, 35,974.53 and 14,738.14

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Solution

The fourth proportional to 26,068.82, 35,974.53 and 14,738.14 is: 20,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,068.82 : 35,974.53 = 14,738.14 : x
  2. Step 2: Convert to fraction form
    26,068.82/35,974.53 = 14,738.14/x
  3. Step 3: Cross multiply
    26,068.82x = 35,974.53 × 14,738.14
  4. Step 4: Simplify right side
    26,068.82x = 530,197,659.57
  5. Step 5: Solve for x
    x = 530,197,659.57/26,068.82
  6. Step 6: Final answer
    x = 20,338.38

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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.