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Finding the Fourth Proportional to 20,077.71, 27,706.49 and 11,580.18

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Solution

The fourth proportional to 20,077.71, 27,706.49 and 11,580.18 is: 15,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.71 : 27,706.49 = 11,580.18 : x
  2. Step 2: Convert to fraction form
    20,077.71/27,706.49 = 11,580.18/x
  3. Step 3: Cross multiply
    20,077.71x = 27,706.49 × 11,580.18
  4. Step 4: Simplify right side
    20,077.71x = 320,846,170.32
  5. Step 5: Solve for x
    x = 320,846,170.32/20,077.71
  6. Step 6: Final answer
    x = 15,980.22

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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.