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Finding the Fourth Proportional to 16,083.81, 22,198.01 and 9,010.71

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Solution

The fourth proportional to 16,083.81, 22,198.01 and 9,010.71 is: 12,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.81 : 22,198.01 = 9,010.71 : x
  2. Step 2: Convert to fraction form
    16,083.81/22,198.01 = 9,010.71/x
  3. Step 3: Cross multiply
    16,083.81x = 22,198.01 × 9,010.71
  4. Step 4: Simplify right side
    16,083.81x = 200,019,785.63
  5. Step 5: Solve for x
    x = 200,019,785.63/16,083.81
  6. Step 6: Final answer
    x = 12,436.09

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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.