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Finding the Fourth Proportional to 16,100.92, 22,218.62 and 8,833

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Solution

The fourth proportional to 16,100.92, 22,218.62 and 8,833 is: 12,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.92 : 22,218.62 = 8,833 : x
  2. Step 2: Convert to fraction form
    16,100.92/22,218.62 = 8,833/x
  3. Step 3: Cross multiply
    16,100.92x = 22,218.62 × 8,833
  4. Step 4: Simplify right side
    16,100.92x = 196,257,070.46
  5. Step 5: Solve for x
    x = 196,257,070.46/16,100.92
  6. Step 6: Final answer
    x = 12,189.18

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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.