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Finding the Fourth Proportional to 16,509.54, 24,730.86 and 13,183.43

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Solution

The fourth proportional to 16,509.54, 24,730.86 and 13,183.43 is: 19,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.54 : 24,730.86 = 13,183.43 : x
  2. Step 2: Convert to fraction form
    16,509.54/24,730.86 = 13,183.43/x
  3. Step 3: Cross multiply
    16,509.54x = 24,730.86 × 13,183.43
  4. Step 4: Simplify right side
    16,509.54x = 326,037,487.43
  5. Step 5: Solve for x
    x = 326,037,487.43/16,509.54
  6. Step 6: Final answer
    x = 19,748.43

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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.