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Finding the Fourth Proportional to 20,054.50, 27,675.36 and 11,102.14

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Solution

The fourth proportional to 20,054.50, 27,675.36 and 11,102.14 is: 15,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.50 : 27,675.36 = 11,102.14 : x
  2. Step 2: Convert to fraction form
    20,054.50/27,675.36 = 11,102.14/x
  3. Step 3: Cross multiply
    20,054.50x = 27,675.36 × 11,102.14
  4. Step 4: Simplify right side
    20,054.50x = 307,255,755.86
  5. Step 5: Solve for x
    x = 307,255,755.86/20,054.50
  6. Step 6: Final answer
    x = 15,321.04

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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.