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Finding the Fourth Proportional to 19,722.69, 27,216.09 and 10,768.41

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Solution

The fourth proportional to 19,722.69, 27,216.09 and 10,768.41 is: 14,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.69 : 27,216.09 = 10,768.41 : x
  2. Step 2: Convert to fraction form
    19,722.69/27,216.09 = 10,768.41/x
  3. Step 3: Cross multiply
    19,722.69x = 27,216.09 × 10,768.41
  4. Step 4: Simplify right side
    19,722.69x = 293,074,015.72
  5. Step 5: Solve for x
    x = 293,074,015.72/19,722.69
  6. Step 6: Final answer
    x = 14,859.74

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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.