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Finding the Fourth Proportional to 16,021.30, 22,109.40 and 8,947.96

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Solution

The fourth proportional to 16,021.30, 22,109.40 and 8,947.96 is: 12,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.30 : 22,109.40 = 8,947.96 : x
  2. Step 2: Convert to fraction form
    16,021.30/22,109.40 = 8,947.96/x
  3. Step 3: Cross multiply
    16,021.30x = 22,109.40 × 8,947.96
  4. Step 4: Simplify right side
    16,021.30x = 197,834,026.82
  5. Step 5: Solve for x
    x = 197,834,026.82/16,021.30
  6. Step 6: Final answer
    x = 12,348.19

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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.