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Finding the Fourth Proportional to 27,771.50, 38,342.22 and 17,167.16

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Solution

The fourth proportional to 27,771.50, 38,342.22 and 17,167.16 is: 23,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.50 : 38,342.22 = 17,167.16 : x
  2. Step 2: Convert to fraction form
    27,771.50/38,342.22 = 17,167.16/x
  3. Step 3: Cross multiply
    27,771.50x = 38,342.22 × 17,167.16
  4. Step 4: Simplify right side
    27,771.50x = 658,227,025.50
  5. Step 5: Solve for x
    x = 658,227,025.50/27,771.50
  6. Step 6: Final answer
    x = 23,701.53

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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.