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Finding the Fourth Proportional to 17,771, 26,656.66 and 6,084.32

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Solution

The fourth proportional to 17,771, 26,656.66 and 6,084.32 is: 9,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771 : 26,656.66 = 6,084.32 : x
  2. Step 2: Convert to fraction form
    17,771/26,656.66 = 6,084.32/x
  3. Step 3: Cross multiply
    17,771x = 26,656.66 × 6,084.32
  4. Step 4: Simplify right side
    17,771x = 162,187,649.57
  5. Step 5: Solve for x
    x = 162,187,649.57/17,771
  6. Step 6: Final answer
    x = 9,126.53

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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.