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Finding the Fourth Proportional to 26,134, 36,069.78 and 14,956

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Solution

The fourth proportional to 26,134, 36,069.78 and 14,956 is: 20,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,134 : 36,069.78 = 14,956 : x
  2. Step 2: Convert to fraction form
    26,134/36,069.78 = 14,956/x
  3. Step 3: Cross multiply
    26,134x = 36,069.78 × 14,956
  4. Step 4: Simplify right side
    26,134x = 539,459,629.68
  5. Step 5: Solve for x
    x = 539,459,629.68/26,134
  6. Step 6: Final answer
    x = 20,642.06

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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.