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Finding the Fourth Proportional to 21,127.82, 31,722.87 and 11,786.09

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Solution

The fourth proportional to 21,127.82, 31,722.87 and 11,786.09 is: 17,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,127.82 : 31,722.87 = 11,786.09 : x
  2. Step 2: Convert to fraction form
    21,127.82/31,722.87 = 11,786.09/x
  3. Step 3: Cross multiply
    21,127.82x = 31,722.87 × 11,786.09
  4. Step 4: Simplify right side
    21,127.82x = 373,888,442.26
  5. Step 5: Solve for x
    x = 373,888,442.26/21,127.82
  6. Step 6: Final answer
    x = 17,696.50

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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.