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Finding the Fourth Proportional to 16,745.16, 23,108.61 and 9,192.20

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Solution

The fourth proportional to 16,745.16, 23,108.61 and 9,192.20 is: 12,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.16 : 23,108.61 = 9,192.20 : x
  2. Step 2: Convert to fraction form
    16,745.16/23,108.61 = 9,192.20/x
  3. Step 3: Cross multiply
    16,745.16x = 23,108.61 × 9,192.20
  4. Step 4: Simplify right side
    16,745.16x = 212,418,849.30
  5. Step 5: Solve for x
    x = 212,418,849.30/16,745.16
  6. Step 6: Final answer
    x = 12,685.39

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Why These Related Problems?

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