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Finding the Fourth Proportional to 27,657.50, 38,170.23 and 17,046.86

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Solution

The fourth proportional to 27,657.50, 38,170.23 and 17,046.86 is: 23,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.50 : 38,170.23 = 17,046.86 : x
  2. Step 2: Convert to fraction form
    27,657.50/38,170.23 = 17,046.86/x
  3. Step 3: Cross multiply
    27,657.50x = 38,170.23 × 17,046.86
  4. Step 4: Simplify right side
    27,657.50x = 650,682,566.98
  5. Step 5: Solve for x
    x = 650,682,566.98/27,657.50
  6. Step 6: Final answer
    x = 23,526.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.