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Finding the Fourth Proportional to 19,614, 27,067.32 and 10,782

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Solution

The fourth proportional to 19,614, 27,067.32 and 10,782 is: 14,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614 : 27,067.32 = 10,782 : x
  2. Step 2: Convert to fraction form
    19,614/27,067.32 = 10,782/x
  3. Step 3: Cross multiply
    19,614x = 27,067.32 × 10,782
  4. Step 4: Simplify right side
    19,614x = 291,839,844.24
  5. Step 5: Solve for x
    x = 291,839,844.24/19,614
  6. Step 6: Final answer
    x = 14,879.16

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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.