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Finding the Fourth Proportional to 20,633.74, 28,474.89 and 11,202.30

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Solution

The fourth proportional to 20,633.74, 28,474.89 and 11,202.30 is: 15,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.74 : 28,474.89 = 11,202.30 : x
  2. Step 2: Convert to fraction form
    20,633.74/28,474.89 = 11,202.30/x
  3. Step 3: Cross multiply
    20,633.74x = 28,474.89 × 11,202.30
  4. Step 4: Simplify right side
    20,633.74x = 318,984,260.25
  5. Step 5: Solve for x
    x = 318,984,260.25/20,633.74
  6. Step 6: Final answer
    x = 15,459.35

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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.