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Finding the Fourth Proportional to 19,922.84, 27,504.56 and 11,967

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Solution

The fourth proportional to 19,922.84, 27,504.56 and 11,967 is: 16,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.84 : 27,504.56 = 11,967 : x
  2. Step 2: Convert to fraction form
    19,922.84/27,504.56 = 11,967/x
  3. Step 3: Cross multiply
    19,922.84x = 27,504.56 × 11,967
  4. Step 4: Simplify right side
    19,922.84x = 329,147,069.52
  5. Step 5: Solve for x
    x = 329,147,069.52/19,922.84
  6. Step 6: Final answer
    x = 16,521.09

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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.