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Finding the Fourth Proportional to 11,953.42, 17,930.13 and 3,633.51

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Solution

The fourth proportional to 11,953.42, 17,930.13 and 3,633.51 is: 5,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.42 : 17,930.13 = 3,633.51 : x
  2. Step 2: Convert to fraction form
    11,953.42/17,930.13 = 3,633.51/x
  3. Step 3: Cross multiply
    11,953.42x = 17,930.13 × 3,633.51
  4. Step 4: Simplify right side
    11,953.42x = 65,149,306.66
  5. Step 5: Solve for x
    x = 65,149,306.66/11,953.42
  6. Step 6: Final answer
    x = 5,450.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.