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Finding the Fourth Proportional to 16,745.72, 23,107.50 and 10,031.24

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Solution

The fourth proportional to 16,745.72, 23,107.50 and 10,031.24 is: 13,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.72 : 23,107.50 = 10,031.24 : x
  2. Step 2: Convert to fraction form
    16,745.72/23,107.50 = 10,031.24/x
  3. Step 3: Cross multiply
    16,745.72x = 23,107.50 × 10,031.24
  4. Step 4: Simplify right side
    16,745.72x = 231,796,878.30
  5. Step 5: Solve for x
    x = 231,796,878.30/16,745.72
  6. Step 6: Final answer
    x = 13,842.16

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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.