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Finding the Fourth Proportional to 16,199.14, 22,354.48 and 9,125.56

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Solution

The fourth proportional to 16,199.14, 22,354.48 and 9,125.56 is: 12,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.14 : 22,354.48 = 9,125.56 : x
  2. Step 2: Convert to fraction form
    16,199.14/22,354.48 = 9,125.56/x
  3. Step 3: Cross multiply
    16,199.14x = 22,354.48 × 9,125.56
  4. Step 4: Simplify right side
    16,199.14x = 203,997,187.86
  5. Step 5: Solve for x
    x = 203,997,187.86/16,199.14
  6. Step 6: Final answer
    x = 12,593.09

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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.