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Finding the Fourth Proportional to 20,175.84, 27,840.96 and 11,222.64

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Solution

The fourth proportional to 20,175.84, 27,840.96 and 11,222.64 is: 15,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.84 : 27,840.96 = 11,222.64 : x
  2. Step 2: Convert to fraction form
    20,175.84/27,840.96 = 11,222.64/x
  3. Step 3: Cross multiply
    20,175.84x = 27,840.96 × 11,222.64
  4. Step 4: Simplify right side
    20,175.84x = 312,449,071.33
  5. Step 5: Solve for x
    x = 312,449,071.33/20,175.84
  6. Step 6: Final answer
    x = 15,486.30

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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.