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Finding the Fourth Proportional to 17,761.50, 26,649.81 and 6,666.57

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Solution

The fourth proportional to 17,761.50, 26,649.81 and 6,666.57 is: 10,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.50 : 26,649.81 = 6,666.57 : x
  2. Step 2: Convert to fraction form
    17,761.50/26,649.81 = 6,666.57/x
  3. Step 3: Cross multiply
    17,761.50x = 26,649.81 × 6,666.57
  4. Step 4: Simplify right side
    17,761.50x = 177,662,823.85
  5. Step 5: Solve for x
    x = 177,662,823.85/17,761.50
  6. Step 6: Final answer
    x = 10,002.69

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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.