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Finding the Fourth Proportional to 17,644.68, 26,468.64 and 7,791.84

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Solution

The fourth proportional to 17,644.68, 26,468.64 and 7,791.84 is: 11,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.68 : 26,468.64 = 7,791.84 : x
  2. Step 2: Convert to fraction form
    17,644.68/26,468.64 = 7,791.84/x
  3. Step 3: Cross multiply
    17,644.68x = 26,468.64 × 7,791.84
  4. Step 4: Simplify right side
    17,644.68x = 206,239,407.90
  5. Step 5: Solve for x
    x = 206,239,407.90/17,644.68
  6. Step 6: Final answer
    x = 11,688.48

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Why These Related Problems?

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