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Finding the Fourth Proportional to 16,083.96, 22,194.38 and 9,009.02

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Solution

The fourth proportional to 16,083.96, 22,194.38 and 9,009.02 is: 12,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.96 : 22,194.38 = 9,009.02 : x
  2. Step 2: Convert to fraction form
    16,083.96/22,194.38 = 9,009.02/x
  3. Step 3: Cross multiply
    16,083.96x = 22,194.38 × 9,009.02
  4. Step 4: Simplify right side
    16,083.96x = 199,949,457.29
  5. Step 5: Solve for x
    x = 199,949,457.29/16,083.96
  6. Step 6: Final answer
    x = 12,431.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.