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Finding the Fourth Proportional to 19,669.32, 27,143.97 and 10,716.82

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Solution

The fourth proportional to 19,669.32, 27,143.97 and 10,716.82 is: 14,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.32 : 27,143.97 = 10,716.82 : x
  2. Step 2: Convert to fraction form
    19,669.32/27,143.97 = 10,716.82/x
  3. Step 3: Cross multiply
    19,669.32x = 27,143.97 × 10,716.82
  4. Step 4: Simplify right side
    19,669.32x = 290,896,972.72
  5. Step 5: Solve for x
    x = 290,896,972.72/19,669.32
  6. Step 6: Final answer
    x = 14,789.38

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Why These Related Problems?

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