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Finding the Fourth Proportional to 16,745.97, 23,107.85 and 10,031.49

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Solution

The fourth proportional to 16,745.97, 23,107.85 and 10,031.49 is: 13,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.97 : 23,107.85 = 10,031.49 : x
  2. Step 2: Convert to fraction form
    16,745.97/23,107.85 = 10,031.49/x
  3. Step 3: Cross multiply
    16,745.97x = 23,107.85 × 10,031.49
  4. Step 4: Simplify right side
    16,745.97x = 231,806,116.04
  5. Step 5: Solve for x
    x = 231,806,116.04/16,745.97
  6. Step 6: Final answer
    x = 13,842.50

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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.