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Finding the Fourth Proportional to 16,143.50, 24,215.22 and 4,456.69

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Solution

The fourth proportional to 16,143.50, 24,215.22 and 4,456.69 is: 6,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.50 : 24,215.22 = 4,456.69 : x
  2. Step 2: Convert to fraction form
    16,143.50/24,215.22 = 4,456.69/x
  3. Step 3: Cross multiply
    16,143.50x = 24,215.22 × 4,456.69
  4. Step 4: Simplify right side
    16,143.50x = 107,919,668.28
  5. Step 5: Solve for x
    x = 107,919,668.28/16,143.50
  6. Step 6: Final answer
    x = 6,685.02

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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.