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Finding the Fourth Proportional to 16,433.53, 24,631.79 and 8,095.88

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Solution

The fourth proportional to 16,433.53, 24,631.79 and 8,095.88 is: 12,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.53 : 24,631.79 = 8,095.88 : x
  2. Step 2: Convert to fraction form
    16,433.53/24,631.79 = 8,095.88/x
  3. Step 3: Cross multiply
    16,433.53x = 24,631.79 × 8,095.88
  4. Step 4: Simplify right side
    16,433.53x = 199,416,037.13
  5. Step 5: Solve for x
    x = 199,416,037.13/16,433.53
  6. Step 6: Final answer
    x = 12,134.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.