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Finding the Fourth Proportional to 12,009.31, 16,568.09 and 8,024.11

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Solution

The fourth proportional to 12,009.31, 16,568.09 and 8,024.11 is: 11,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.31 : 16,568.09 = 8,024.11 : x
  2. Step 2: Convert to fraction form
    12,009.31/16,568.09 = 8,024.11/x
  3. Step 3: Cross multiply
    12,009.31x = 16,568.09 × 8,024.11
  4. Step 4: Simplify right side
    12,009.31x = 132,944,136.53
  5. Step 5: Solve for x
    x = 132,944,136.53/12,009.31
  6. Step 6: Final answer
    x = 11,070.09

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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.