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Finding the Fourth Proportional to 19,909.44, 29,842.56 and 8,213.76

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Solution

The fourth proportional to 19,909.44, 29,842.56 and 8,213.76 is: 12,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.44 : 29,842.56 = 8,213.76 : x
  2. Step 2: Convert to fraction form
    19,909.44/29,842.56 = 8,213.76/x
  3. Step 3: Cross multiply
    19,909.44x = 29,842.56 × 8,213.76
  4. Step 4: Simplify right side
    19,909.44x = 245,119,625.63
  5. Step 5: Solve for x
    x = 245,119,625.63/19,909.44
  6. Step 6: Final answer
    x = 12,311.73

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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.