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Finding the Fourth Proportional to 15,414.44, 23,133.81 and 7,917.69

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Solution

The fourth proportional to 15,414.44, 23,133.81 and 7,917.69 is: 11,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.44 : 23,133.81 = 7,917.69 : x
  2. Step 2: Convert to fraction form
    15,414.44/23,133.81 = 7,917.69/x
  3. Step 3: Cross multiply
    15,414.44x = 23,133.81 × 7,917.69
  4. Step 4: Simplify right side
    15,414.44x = 183,166,336.10
  5. Step 5: Solve for x
    x = 183,166,336.10/15,414.44
  6. Step 6: Final answer
    x = 11,882.78

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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.