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Finding the Fourth Proportional to 19,706, 27,194.28 and 14,674.56

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Solution

The fourth proportional to 19,706, 27,194.28 and 14,674.56 is: 20,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706 : 27,194.28 = 14,674.56 : x
  2. Step 2: Convert to fraction form
    19,706/27,194.28 = 14,674.56/x
  3. Step 3: Cross multiply
    19,706x = 27,194.28 × 14,674.56
  4. Step 4: Simplify right side
    19,706x = 399,064,093.52
  5. Step 5: Solve for x
    x = 399,064,093.52/19,706
  6. Step 6: Final answer
    x = 20,250.89

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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.