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Finding the Fourth Proportional to 16,214.93, 24,310.24 and 6,865.91

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Solution

The fourth proportional to 16,214.93, 24,310.24 and 6,865.91 is: 10,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.93 : 24,310.24 = 6,865.91 : x
  2. Step 2: Convert to fraction form
    16,214.93/24,310.24 = 6,865.91/x
  3. Step 3: Cross multiply
    16,214.93x = 24,310.24 × 6,865.91
  4. Step 4: Simplify right side
    16,214.93x = 166,911,919.92
  5. Step 5: Solve for x
    x = 166,911,919.92/16,214.93
  6. Step 6: Final answer
    x = 10,293.72

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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.