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Finding the Fourth Proportional to 27,338.50, 37,729.98 and 16,735.20

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Solution

The fourth proportional to 27,338.50, 37,729.98 and 16,735.20 is: 23,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338.50 : 37,729.98 = 16,735.20 : x
  2. Step 2: Convert to fraction form
    27,338.50/37,729.98 = 16,735.20/x
  3. Step 3: Cross multiply
    27,338.50x = 37,729.98 × 16,735.20
  4. Step 4: Simplify right side
    27,338.50x = 631,418,761.30
  5. Step 5: Solve for x
    x = 631,418,761.30/27,338.50
  6. Step 6: Final answer
    x = 23,096.32

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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.