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Finding the Fourth Proportional to 17,757.71, 26,629.64 and 6,658.35

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Solution

The fourth proportional to 17,757.71, 26,629.64 and 6,658.35 is: 9,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.71 : 26,629.64 = 6,658.35 : x
  2. Step 2: Convert to fraction form
    17,757.71/26,629.64 = 6,658.35/x
  3. Step 3: Cross multiply
    17,757.71x = 26,629.64 × 6,658.35
  4. Step 4: Simplify right side
    17,757.71x = 177,309,463.49
  5. Step 5: Solve for x
    x = 177,309,463.49/17,757.71
  6. Step 6: Final answer
    x = 9,984.93

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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.