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Finding the Fourth Proportional to 11,165.60, 16,724.10 and 9,221.60

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Solution

The fourth proportional to 11,165.60, 16,724.10 and 9,221.60 is: 13,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.60 : 16,724.10 = 9,221.60 : x
  2. Step 2: Convert to fraction form
    11,165.60/16,724.10 = 9,221.60/x
  3. Step 3: Cross multiply
    11,165.60x = 16,724.10 × 9,221.60
  4. Step 4: Simplify right side
    11,165.60x = 154,222,960.56
  5. Step 5: Solve for x
    x = 154,222,960.56/11,165.60
  6. Step 6: Final answer
    x = 13,812.33

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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.