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Finding the Fourth Proportional to 17,772.50, 26,658.89 and 6,085.82

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Solution

The fourth proportional to 17,772.50, 26,658.89 and 6,085.82 is: 9,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.50 : 26,658.89 = 6,085.82 : x
  2. Step 2: Convert to fraction form
    17,772.50/26,658.89 = 6,085.82/x
  3. Step 3: Cross multiply
    17,772.50x = 26,658.89 × 6,085.82
  4. Step 4: Simplify right side
    17,772.50x = 162,241,205.94
  5. Step 5: Solve for x
    x = 162,241,205.94/17,772.50
  6. Step 6: Final answer
    x = 9,128.78

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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.