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Finding the Fourth Proportional to 17,871.62, 26,791.03 and 6,176.64

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Solution

The fourth proportional to 17,871.62, 26,791.03 and 6,176.64 is: 9,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.62 : 26,791.03 = 6,176.64 : x
  2. Step 2: Convert to fraction form
    17,871.62/26,791.03 = 6,176.64/x
  3. Step 3: Cross multiply
    17,871.62x = 26,791.03 × 6,176.64
  4. Step 4: Simplify right side
    17,871.62x = 165,478,465.12
  5. Step 5: Solve for x
    x = 165,478,465.12/17,871.62
  6. Step 6: Final answer
    x = 9,259.29

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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.