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Finding the Fourth Proportional to 20,074.92, 27,703.30 and 11,577

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Solution

The fourth proportional to 20,074.92, 27,703.30 and 11,577 is: 15,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.92 : 27,703.30 = 11,577 : x
  2. Step 2: Convert to fraction form
    20,074.92/27,703.30 = 11,577/x
  3. Step 3: Cross multiply
    20,074.92x = 27,703.30 × 11,577
  4. Step 4: Simplify right side
    20,074.92x = 320,721,104.10
  5. Step 5: Solve for x
    x = 320,721,104.10/20,074.92
  6. Step 6: Final answer
    x = 15,976.21

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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.