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Finding the Fourth Proportional to 20,122.26, 27,767.44 and 12,568.14

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Solution

The fourth proportional to 20,122.26, 27,767.44 and 12,568.14 is: 17,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.26 : 27,767.44 = 12,568.14 : x
  2. Step 2: Convert to fraction form
    20,122.26/27,767.44 = 12,568.14/x
  3. Step 3: Cross multiply
    20,122.26x = 27,767.44 × 12,568.14
  4. Step 4: Simplify right side
    20,122.26x = 348,985,073.36
  5. Step 5: Solve for x
    x = 348,985,073.36/20,122.26
  6. Step 6: Final answer
    x = 17,343.23

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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.