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Finding the Fourth Proportional to 17,732.43, 26,579.49 and 7,858.13

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Solution

The fourth proportional to 17,732.43, 26,579.49 and 7,858.13 is: 11,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.43 : 26,579.49 = 7,858.13 : x
  2. Step 2: Convert to fraction form
    17,732.43/26,579.49 = 7,858.13/x
  3. Step 3: Cross multiply
    17,732.43x = 26,579.49 × 7,858.13
  4. Step 4: Simplify right side
    17,732.43x = 208,864,954.86
  5. Step 5: Solve for x
    x = 208,864,954.86/17,732.43
  6. Step 6: Final answer
    x = 11,778.70

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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.