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Finding the Fourth Proportional to 16,299.44, 22,493.24 and 9,228.14

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Solution

The fourth proportional to 16,299.44, 22,493.24 and 9,228.14 is: 12,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.44 : 22,493.24 = 9,228.14 : x
  2. Step 2: Convert to fraction form
    16,299.44/22,493.24 = 9,228.14/x
  3. Step 3: Cross multiply
    16,299.44x = 22,493.24 × 9,228.14
  4. Step 4: Simplify right side
    16,299.44x = 207,570,767.77
  5. Step 5: Solve for x
    x = 207,570,767.77/16,299.44
  6. Step 6: Final answer
    x = 12,734.84

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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.