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Finding the Fourth Proportional to 17,542.52, 26,314 and 5,855.74

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Solution

The fourth proportional to 17,542.52, 26,314 and 5,855.74 is: 8,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.52 : 26,314 = 5,855.74 : x
  2. Step 2: Convert to fraction form
    17,542.52/26,314 = 5,855.74/x
  3. Step 3: Cross multiply
    17,542.52x = 26,314 × 5,855.74
  4. Step 4: Simplify right side
    17,542.52x = 154,087,942.36
  5. Step 5: Solve for x
    x = 154,087,942.36/17,542.52
  6. Step 6: Final answer
    x = 8,783.68

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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.