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Finding the Fourth Proportional to 20,079.84, 27,709.42 and 11,582.31

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Solution

The fourth proportional to 20,079.84, 27,709.42 and 11,582.31 is: 15,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,079.84 : 27,709.42 = 11,582.31 : x
  2. Step 2: Convert to fraction form
    20,079.84/27,709.42 = 11,582.31/x
  3. Step 3: Cross multiply
    20,079.84x = 27,709.42 × 11,582.31
  4. Step 4: Simplify right side
    20,079.84x = 320,939,092.36
  5. Step 5: Solve for x
    x = 320,939,092.36/20,079.84
  6. Step 6: Final answer
    x = 15,983.15

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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.