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Finding the Fourth Proportional to 17,211.36, 23,752.08 and 9,658.44

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Solution

The fourth proportional to 17,211.36, 23,752.08 and 9,658.44 is: 13,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.36 : 23,752.08 = 9,658.44 : x
  2. Step 2: Convert to fraction form
    17,211.36/23,752.08 = 9,658.44/x
  3. Step 3: Cross multiply
    17,211.36x = 23,752.08 × 9,658.44
  4. Step 4: Simplify right side
    17,211.36x = 229,408,039.56
  5. Step 5: Solve for x
    x = 229,408,039.56/17,211.36
  6. Step 6: Final answer
    x = 13,328.87

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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.