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Finding the Fourth Proportional to 20,099.72, 30,149.66 and 8,404.74

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Solution

The fourth proportional to 20,099.72, 30,149.66 and 8,404.74 is: 12,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.72 : 30,149.66 = 8,404.74 : x
  2. Step 2: Convert to fraction form
    20,099.72/30,149.66 = 8,404.74/x
  3. Step 3: Cross multiply
    20,099.72x = 30,149.66 × 8,404.74
  4. Step 4: Simplify right side
    20,099.72x = 253,400,074.40
  5. Step 5: Solve for x
    x = 253,400,074.40/20,099.72
  6. Step 6: Final answer
    x = 12,607.14

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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.