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Finding the Fourth Proportional to 20,157.02, 27,814.16 and 11,203.90

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Solution

The fourth proportional to 20,157.02, 27,814.16 and 11,203.90 is: 15,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.02 : 27,814.16 = 11,203.90 : x
  2. Step 2: Convert to fraction form
    20,157.02/27,814.16 = 11,203.90/x
  3. Step 3: Cross multiply
    20,157.02x = 27,814.16 × 11,203.90
  4. Step 4: Simplify right side
    20,157.02x = 311,627,067.22
  5. Step 5: Solve for x
    x = 311,627,067.22/20,157.02
  6. Step 6: Final answer
    x = 15,459.98

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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.