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Finding the Fourth Proportional to 22,112.16, 33,168.17 and 8,964.50

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Solution

The fourth proportional to 22,112.16, 33,168.17 and 8,964.50 is: 13,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,112.16 : 33,168.17 = 8,964.50 : x
  2. Step 2: Convert to fraction form
    22,112.16/33,168.17 = 8,964.50/x
  3. Step 3: Cross multiply
    22,112.16x = 33,168.17 × 8,964.50
  4. Step 4: Simplify right side
    22,112.16x = 297,336,015.14
  5. Step 5: Solve for x
    x = 297,336,015.14/22,112.16
  6. Step 6: Final answer
    x = 13,446.72

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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.