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Finding the Fourth Proportional to 20,633.80, 28,473.84 and 11,202.16

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Solution

The fourth proportional to 20,633.80, 28,473.84 and 11,202.16 is: 15,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.80 : 28,473.84 = 11,202.16 : x
  2. Step 2: Convert to fraction form
    20,633.80/28,473.84 = 11,202.16/x
  3. Step 3: Cross multiply
    20,633.80x = 28,473.84 × 11,202.16
  4. Step 4: Simplify right side
    20,633.80x = 318,968,511.49
  5. Step 5: Solve for x
    x = 318,968,511.49/20,633.80
  6. Step 6: Final answer
    x = 15,458.54

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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.