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Finding the Fourth Proportional to 16,212.72, 22,372.64 and 9,139.52

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Solution

The fourth proportional to 16,212.72, 22,372.64 and 9,139.52 is: 12,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.72 : 22,372.64 = 9,139.52 : x
  2. Step 2: Convert to fraction form
    16,212.72/22,372.64 = 9,139.52/x
  3. Step 3: Cross multiply
    16,212.72x = 22,372.64 × 9,139.52
  4. Step 4: Simplify right side
    16,212.72x = 204,475,190.73
  5. Step 5: Solve for x
    x = 204,475,190.73/16,212.72
  6. Step 6: Final answer
    x = 12,612.02

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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.