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Finding the Fourth Proportional to 19,658.11, 29,481.67 and 6,511.50

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Solution

The fourth proportional to 19,658.11, 29,481.67 and 6,511.50 is: 9,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.11 : 29,481.67 = 6,511.50 : x
  2. Step 2: Convert to fraction form
    19,658.11/29,481.67 = 6,511.50/x
  3. Step 3: Cross multiply
    19,658.11x = 29,481.67 × 6,511.50
  4. Step 4: Simplify right side
    19,658.11x = 191,969,894.21
  5. Step 5: Solve for x
    x = 191,969,894.21/19,658.11
  6. Step 6: Final answer
    x = 9,765.43

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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.