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Finding the Fourth Proportional to 17,771.50, 26,657.39 and 6,084.82

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Solution

The fourth proportional to 17,771.50, 26,657.39 and 6,084.82 is: 9,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.50 : 26,657.39 = 6,084.82 : x
  2. Step 2: Convert to fraction form
    17,771.50/26,657.39 = 6,084.82/x
  3. Step 3: Cross multiply
    17,771.50x = 26,657.39 × 6,084.82
  4. Step 4: Simplify right side
    17,771.50x = 162,205,419.82
  5. Step 5: Solve for x
    x = 162,205,419.82/17,771.50
  6. Step 6: Final answer
    x = 9,127.28

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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.