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Finding the Fourth Proportional to 22,287.64, 33,414.16 and 9,967

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Solution

The fourth proportional to 22,287.64, 33,414.16 and 9,967 is: 14,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.64 : 33,414.16 = 9,967 : x
  2. Step 2: Convert to fraction form
    22,287.64/33,414.16 = 9,967/x
  3. Step 3: Cross multiply
    22,287.64x = 33,414.16 × 9,967
  4. Step 4: Simplify right side
    22,287.64x = 333,038,932.72
  5. Step 5: Solve for x
    x = 333,038,932.72/22,287.64
  6. Step 6: Final answer
    x = 14,942.76

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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.