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Finding the Fourth Proportional to 17,808.96, 26,711.64 and 6,123

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Solution

The fourth proportional to 17,808.96, 26,711.64 and 6,123 is: 9,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.96 : 26,711.64 = 6,123 : x
  2. Step 2: Convert to fraction form
    17,808.96/26,711.64 = 6,123/x
  3. Step 3: Cross multiply
    17,808.96x = 26,711.64 × 6,123
  4. Step 4: Simplify right side
    17,808.96x = 163,555,371.72
  5. Step 5: Solve for x
    x = 163,555,371.72/17,808.96
  6. Step 6: Final answer
    x = 9,183.88

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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.