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Finding the Fourth Proportional to 12,300.90, 16,982.22 and 8,121.30

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Solution

The fourth proportional to 12,300.90, 16,982.22 and 8,121.30 is: 11,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.90 : 16,982.22 = 8,121.30 : x
  2. Step 2: Convert to fraction form
    12,300.90/16,982.22 = 8,121.30/x
  3. Step 3: Cross multiply
    12,300.90x = 16,982.22 × 8,121.30
  4. Step 4: Simplify right side
    12,300.90x = 137,917,703.29
  5. Step 5: Solve for x
    x = 137,917,703.29/12,300.90
  6. Step 6: Final answer
    x = 11,212.00

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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.