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Finding the Fourth Proportional to 16,543, 24,814.68 and 4,231

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Solution

The fourth proportional to 16,543, 24,814.68 and 4,231 is: 6,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543 : 24,814.68 = 4,231 : x
  2. Step 2: Convert to fraction form
    16,543/24,814.68 = 4,231/x
  3. Step 3: Cross multiply
    16,543x = 24,814.68 × 4,231
  4. Step 4: Simplify right side
    16,543x = 104,990,911.08
  5. Step 5: Solve for x
    x = 104,990,911.08/16,543
  6. Step 6: Final answer
    x = 6,346.55

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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.