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Finding the Fourth Proportional to 28,147.72, 42,206 and 11,519.44

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Solution

The fourth proportional to 28,147.72, 42,206 and 11,519.44 is: 17,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,147.72 : 42,206 = 11,519.44 : x
  2. Step 2: Convert to fraction form
    28,147.72/42,206 = 11,519.44/x
  3. Step 3: Cross multiply
    28,147.72x = 42,206 × 11,519.44
  4. Step 4: Simplify right side
    28,147.72x = 486,189,484.64
  5. Step 5: Solve for x
    x = 486,189,484.64/28,147.72
  6. Step 6: Final answer
    x = 17,272.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.