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Finding the Fourth Proportional to 27,695.34, 41,534.10 and 11,896.08

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Solution

The fourth proportional to 27,695.34, 41,534.10 and 11,896.08 is: 17,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.34 : 41,534.10 = 11,896.08 : x
  2. Step 2: Convert to fraction form
    27,695.34/41,534.10 = 11,896.08/x
  3. Step 3: Cross multiply
    27,695.34x = 41,534.10 × 11,896.08
  4. Step 4: Simplify right side
    27,695.34x = 494,092,976.33
  5. Step 5: Solve for x
    x = 494,092,976.33/27,695.34
  6. Step 6: Final answer
    x = 17,840.29

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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.