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Finding the Fourth Proportional to 16,118, 22,242.92 and 9,408.28

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Solution

The fourth proportional to 16,118, 22,242.92 and 9,408.28 is: 12,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118 : 22,242.92 = 9,408.28 : x
  2. Step 2: Convert to fraction form
    16,118/22,242.92 = 9,408.28/x
  3. Step 3: Cross multiply
    16,118x = 22,242.92 × 9,408.28
  4. Step 4: Simplify right side
    16,118x = 209,267,619.38
  5. Step 5: Solve for x
    x = 209,267,619.38/16,118
  6. Step 6: Final answer
    x = 12,983.47

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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.