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Finding the Fourth Proportional to 22,406.09, 33,609.14 and 6,823.72

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Solution

The fourth proportional to 22,406.09, 33,609.14 and 6,823.72 is: 10,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.09 : 33,609.14 = 6,823.72 : x
  2. Step 2: Convert to fraction form
    22,406.09/33,609.14 = 6,823.72/x
  3. Step 3: Cross multiply
    22,406.09x = 33,609.14 × 6,823.72
  4. Step 4: Simplify right side
    22,406.09x = 229,339,360.80
  5. Step 5: Solve for x
    x = 229,339,360.80/22,406.09
  6. Step 6: Final answer
    x = 10,235.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.