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Finding the Fourth Proportional to 16,134.23, 24,183.21 and 8,214.52

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Solution

The fourth proportional to 16,134.23, 24,183.21 and 8,214.52 is: 12,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.23 : 24,183.21 = 8,214.52 : x
  2. Step 2: Convert to fraction form
    16,134.23/24,183.21 = 8,214.52/x
  3. Step 3: Cross multiply
    16,134.23x = 24,183.21 × 8,214.52
  4. Step 4: Simplify right side
    16,134.23x = 198,653,300.22
  5. Step 5: Solve for x
    x = 198,653,300.22/16,134.23
  6. Step 6: Final answer
    x = 12,312.54

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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.