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Finding the Fourth Proportional to 20,054.66, 27,675 and 11,101.64

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Solution

The fourth proportional to 20,054.66, 27,675 and 11,101.64 is: 15,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.66 : 27,675 = 11,101.64 : x
  2. Step 2: Convert to fraction form
    20,054.66/27,675 = 11,101.64/x
  3. Step 3: Cross multiply
    20,054.66x = 27,675 × 11,101.64
  4. Step 4: Simplify right side
    20,054.66x = 307,237,887
  5. Step 5: Solve for x
    x = 307,237,887/20,054.66
  6. Step 6: Final answer
    x = 15,320.02

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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.