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Finding the Fourth Proportional to 20,092.70, 27,722.30 and 11,707.58

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Solution

The fourth proportional to 20,092.70, 27,722.30 and 11,707.58 is: 16,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.70 : 27,722.30 = 11,707.58 : x
  2. Step 2: Convert to fraction form
    20,092.70/27,722.30 = 11,707.58/x
  3. Step 3: Cross multiply
    20,092.70x = 27,722.30 × 11,707.58
  4. Step 4: Simplify right side
    20,092.70x = 324,561,045.03
  5. Step 5: Solve for x
    x = 324,561,045.03/20,092.70
  6. Step 6: Final answer
    x = 16,153.18

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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.