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Finding the Fourth Proportional to 16,843.68, 23,245.38 and 9,770.76

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Solution

The fourth proportional to 16,843.68, 23,245.38 and 9,770.76 is: 13,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.68 : 23,245.38 = 9,770.76 : x
  2. Step 2: Convert to fraction form
    16,843.68/23,245.38 = 9,770.76/x
  3. Step 3: Cross multiply
    16,843.68x = 23,245.38 × 9,770.76
  4. Step 4: Simplify right side
    16,843.68x = 227,125,029.09
  5. Step 5: Solve for x
    x = 227,125,029.09/16,843.68
  6. Step 6: Final answer
    x = 13,484.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.