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Finding the Fourth Proportional to 20,077.04, 27,708 and 11,580.68

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Solution

The fourth proportional to 20,077.04, 27,708 and 11,580.68 is: 15,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.04 : 27,708 = 11,580.68 : x
  2. Step 2: Convert to fraction form
    20,077.04/27,708 = 11,580.68/x
  3. Step 3: Cross multiply
    20,077.04x = 27,708 × 11,580.68
  4. Step 4: Simplify right side
    20,077.04x = 320,877,481.44
  5. Step 5: Solve for x
    x = 320,877,481.44/20,077.04
  6. Step 6: Final answer
    x = 15,982.31

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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.