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Finding the Fourth Proportional to 19,709.26, 27,198.78 and 14,677.80

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Solution

The fourth proportional to 19,709.26, 27,198.78 and 14,677.80 is: 20,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.26 : 27,198.78 = 14,677.80 : x
  2. Step 2: Convert to fraction form
    19,709.26/27,198.78 = 14,677.80/x
  3. Step 3: Cross multiply
    19,709.26x = 27,198.78 × 14,677.80
  4. Step 4: Simplify right side
    19,709.26x = 399,218,253.08
  5. Step 5: Solve for x
    x = 399,218,253.08/19,709.26
  6. Step 6: Final answer
    x = 20,255.36

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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.