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Finding the Fourth Proportional to 26,286.70, 36,274.38 and 14,955.14

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Solution

The fourth proportional to 26,286.70, 36,274.38 and 14,955.14 is: 20,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,286.70 : 36,274.38 = 14,955.14 : x
  2. Step 2: Convert to fraction form
    26,286.70/36,274.38 = 14,955.14/x
  3. Step 3: Cross multiply
    26,286.70x = 36,274.38 × 14,955.14
  4. Step 4: Simplify right side
    26,286.70x = 542,488,431.31
  5. Step 5: Solve for x
    x = 542,488,431.31/26,286.70
  6. Step 6: Final answer
    x = 20,637.37

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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.