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Finding the Fourth Proportional to 17,065, 23,536.74 and 11,768.68

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Solution

The fourth proportional to 17,065, 23,536.74 and 11,768.68 is: 16,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065 : 23,536.74 = 11,768.68 : x
  2. Step 2: Convert to fraction form
    17,065/23,536.74 = 11,768.68/x
  3. Step 3: Cross multiply
    17,065x = 23,536.74 × 11,768.68
  4. Step 4: Simplify right side
    17,065x = 276,996,361.30
  5. Step 5: Solve for x
    x = 276,996,361.30/17,065
  6. Step 6: Final answer
    x = 16,231.84

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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.