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Finding the Fourth Proportional to 22,155, 33,213.87 and 9,016.80

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Solution

The fourth proportional to 22,155, 33,213.87 and 9,016.80 is: 13,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,155 : 33,213.87 = 9,016.80 : x
  2. Step 2: Convert to fraction form
    22,155/33,213.87 = 9,016.80/x
  3. Step 3: Cross multiply
    22,155x = 33,213.87 × 9,016.80
  4. Step 4: Simplify right side
    22,155x = 299,482,823.02
  5. Step 5: Solve for x
    x = 299,482,823.02/22,155
  6. Step 6: Final answer
    x = 13,517.62

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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.