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Finding the Fourth Proportional to 20,175.36, 30,224.88 and 11,416.56

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Solution

The fourth proportional to 20,175.36, 30,224.88 and 11,416.56 is: 17,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.36 : 30,224.88 = 11,416.56 : x
  2. Step 2: Convert to fraction form
    20,175.36/30,224.88 = 11,416.56/x
  3. Step 3: Cross multiply
    20,175.36x = 30,224.88 × 11,416.56
  4. Step 4: Simplify right side
    20,175.36x = 345,064,156.01
  5. Step 5: Solve for x
    x = 345,064,156.01/20,175.36
  6. Step 6: Final answer
    x = 17,103.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.