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Finding the Fourth Proportional to 16,021.14, 22,107.12 and 8,947.86

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Solution

The fourth proportional to 16,021.14, 22,107.12 and 8,947.86 is: 12,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.14 : 22,107.12 = 8,947.86 : x
  2. Step 2: Convert to fraction form
    16,021.14/22,107.12 = 8,947.86/x
  3. Step 3: Cross multiply
    16,021.14x = 22,107.12 × 8,947.86
  4. Step 4: Simplify right side
    16,021.14x = 197,811,414.76
  5. Step 5: Solve for x
    x = 197,811,414.76/16,021.14
  6. Step 6: Final answer
    x = 12,346.90

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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.