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Finding the Fourth Proportional to 20,575.72, 30,829.02 and 12,803.56

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Solution

The fourth proportional to 20,575.72, 30,829.02 and 12,803.56 is: 19,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.72 : 30,829.02 = 12,803.56 : x
  2. Step 2: Convert to fraction form
    20,575.72/30,829.02 = 12,803.56/x
  3. Step 3: Cross multiply
    20,575.72x = 30,829.02 × 12,803.56
  4. Step 4: Simplify right side
    20,575.72x = 394,721,207.31
  5. Step 5: Solve for x
    x = 394,721,207.31/20,575.72
  6. Step 6: Final answer
    x = 19,183.83

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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.