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Finding the Fourth Proportional to 20,172.91, 27,840 and 11,221.25

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Solution

The fourth proportional to 20,172.91, 27,840 and 11,221.25 is: 15,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.91 : 27,840 = 11,221.25 : x
  2. Step 2: Convert to fraction form
    20,172.91/27,840 = 11,221.25/x
  3. Step 3: Cross multiply
    20,172.91x = 27,840 × 11,221.25
  4. Step 4: Simplify right side
    20,172.91x = 312,399,460.80
  5. Step 5: Solve for x
    x = 312,399,460.80/20,172.91
  6. Step 6: Final answer
    x = 15,486.09

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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.