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Finding the Fourth Proportional to 22,363.29, 33,544.20 and 9,205.74

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Solution

The fourth proportional to 22,363.29, 33,544.20 and 9,205.74 is: 13,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363.29 : 33,544.20 = 9,205.74 : x
  2. Step 2: Convert to fraction form
    22,363.29/33,544.20 = 9,205.74/x
  3. Step 3: Cross multiply
    22,363.29x = 33,544.20 × 9,205.74
  4. Step 4: Simplify right side
    22,363.29x = 308,799,183.71
  5. Step 5: Solve for x
    x = 308,799,183.71/22,363.29
  6. Step 6: Final answer
    x = 13,808.31

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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.