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Finding the Fourth Proportional to 16,212.44, 22,374.54 and 9,140.33

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Solution

The fourth proportional to 16,212.44, 22,374.54 and 9,140.33 is: 12,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.44 : 22,374.54 = 9,140.33 : x
  2. Step 2: Convert to fraction form
    16,212.44/22,374.54 = 9,140.33/x
  3. Step 3: Cross multiply
    16,212.44x = 22,374.54 × 9,140.33
  4. Step 4: Simplify right side
    16,212.44x = 204,510,567.33
  5. Step 5: Solve for x
    x = 204,510,567.33/16,212.44
  6. Step 6: Final answer
    x = 12,614.43

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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.