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Finding the Fourth Proportional to 19,726.81, 27,221.79 and 10,772.49

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Solution

The fourth proportional to 19,726.81, 27,221.79 and 10,772.49 is: 14,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.81 : 27,221.79 = 10,772.49 : x
  2. Step 2: Convert to fraction form
    19,726.81/27,221.79 = 10,772.49/x
  3. Step 3: Cross multiply
    19,726.81x = 27,221.79 × 10,772.49
  4. Step 4: Simplify right side
    19,726.81x = 293,246,460.56
  5. Step 5: Solve for x
    x = 293,246,460.56/19,726.81
  6. Step 6: Final answer
    x = 14,865.38

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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.