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Finding the Fourth Proportional to 19,780.74, 27,297.41 and 10,828.22

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Solution

The fourth proportional to 19,780.74, 27,297.41 and 10,828.22 is: 14,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.74 : 27,297.41 = 10,828.22 : x
  2. Step 2: Convert to fraction form
    19,780.74/27,297.41 = 10,828.22/x
  3. Step 3: Cross multiply
    19,780.74x = 27,297.41 × 10,828.22
  4. Step 4: Simplify right side
    19,780.74x = 295,582,170.28
  5. Step 5: Solve for x
    x = 295,582,170.28/19,780.74
  6. Step 6: Final answer
    x = 14,942.93

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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.