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Finding the Fourth Proportional to 17,824.66, 26,736.42 and 8,471.42

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Solution

The fourth proportional to 17,824.66, 26,736.42 and 8,471.42 is: 12,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.66 : 26,736.42 = 8,471.42 : x
  2. Step 2: Convert to fraction form
    17,824.66/26,736.42 = 8,471.42/x
  3. Step 3: Cross multiply
    17,824.66x = 26,736.42 × 8,471.42
  4. Step 4: Simplify right side
    17,824.66x = 226,495,443.12
  5. Step 5: Solve for x
    x = 226,495,443.12/17,824.66
  6. Step 6: Final answer
    x = 12,706.86

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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.