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Finding the Fourth Proportional to 16,243.96, 22,416.16 and 9,529.44

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Solution

The fourth proportional to 16,243.96, 22,416.16 and 9,529.44 is: 13,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.96 : 22,416.16 = 9,529.44 : x
  2. Step 2: Convert to fraction form
    16,243.96/22,416.16 = 9,529.44/x
  3. Step 3: Cross multiply
    16,243.96x = 22,416.16 × 9,529.44
  4. Step 4: Simplify right side
    16,243.96x = 213,613,451.75
  5. Step 5: Solve for x
    x = 213,613,451.75/16,243.96
  6. Step 6: Final answer
    x = 13,150.33

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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.