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Finding the Fourth Proportional to 16,122.13, 22,249.89 and 9,408.20

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Solution

The fourth proportional to 16,122.13, 22,249.89 and 9,408.20 is: 12,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.13 : 22,249.89 = 9,408.20 : x
  2. Step 2: Convert to fraction form
    16,122.13/22,249.89 = 9,408.20/x
  3. Step 3: Cross multiply
    16,122.13x = 22,249.89 × 9,408.20
  4. Step 4: Simplify right side
    16,122.13x = 209,331,303.85
  5. Step 5: Solve for x
    x = 209,331,303.85/16,122.13
  6. Step 6: Final answer
    x = 12,984.10

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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.