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Finding the Fourth Proportional to 16,241.12, 22,414.68 and 9,529.28

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Solution

The fourth proportional to 16,241.12, 22,414.68 and 9,529.28 is: 13,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.12 : 22,414.68 = 9,529.28 : x
  2. Step 2: Convert to fraction form
    16,241.12/22,414.68 = 9,529.28/x
  3. Step 3: Cross multiply
    16,241.12x = 22,414.68 × 9,529.28
  4. Step 4: Simplify right side
    16,241.12x = 213,595,761.83
  5. Step 5: Solve for x
    x = 213,595,761.83/16,241.12
  6. Step 6: Final answer
    x = 13,151.54

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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.