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Finding the Fourth Proportional to 20,154.37, 27,813.97 and 11,202.02

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Solution

The fourth proportional to 20,154.37, 27,813.97 and 11,202.02 is: 15,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.37 : 27,813.97 = 11,202.02 : x
  2. Step 2: Convert to fraction form
    20,154.37/27,813.97 = 11,202.02/x
  3. Step 3: Cross multiply
    20,154.37x = 27,813.97 × 11,202.02
  4. Step 4: Simplify right side
    20,154.37x = 311,572,648.22
  5. Step 5: Solve for x
    x = 311,572,648.22/20,154.37
  6. Step 6: Final answer
    x = 15,459.31

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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.