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Finding the Fourth Proportional to 16,500.42, 24,745.47 and 5,404.62

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Solution

The fourth proportional to 16,500.42, 24,745.47 and 5,404.62 is: 8,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.42 : 24,745.47 = 5,404.62 : x
  2. Step 2: Convert to fraction form
    16,500.42/24,745.47 = 5,404.62/x
  3. Step 3: Cross multiply
    16,500.42x = 24,745.47 × 5,404.62
  4. Step 4: Simplify right side
    16,500.42x = 133,739,862.07
  5. Step 5: Solve for x
    x = 133,739,862.07/16,500.42
  6. Step 6: Final answer
    x = 8,105.24

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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.