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Finding the Fourth Proportional to 19,732.34, 27,231.16 and 11,779.17

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Solution

The fourth proportional to 19,732.34, 27,231.16 and 11,779.17 is: 16,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.34 : 27,231.16 = 11,779.17 : x
  2. Step 2: Convert to fraction form
    19,732.34/27,231.16 = 11,779.17/x
  3. Step 3: Cross multiply
    19,732.34x = 27,231.16 × 11,779.17
  4. Step 4: Simplify right side
    19,732.34x = 320,760,583.22
  5. Step 5: Solve for x
    x = 320,760,583.22/19,732.34
  6. Step 6: Final answer
    x = 16,255.58

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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.