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Finding the Fourth Proportional to 13,772.82, 19,007.61 and 7,805.97

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Solution

The fourth proportional to 13,772.82, 19,007.61 and 7,805.97 is: 10,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.82 : 19,007.61 = 7,805.97 : x
  2. Step 2: Convert to fraction form
    13,772.82/19,007.61 = 7,805.97/x
  3. Step 3: Cross multiply
    13,772.82x = 19,007.61 × 7,805.97
  4. Step 4: Simplify right side
    13,772.82x = 148,372,833.43
  5. Step 5: Solve for x
    x = 148,372,833.43/13,772.82
  6. Step 6: Final answer
    x = 10,772.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.