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Finding the Fourth Proportional to 19,591.50, 29,390.26 and 6,440.78

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Solution

The fourth proportional to 19,591.50, 29,390.26 and 6,440.78 is: 9,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.50 : 29,390.26 = 6,440.78 : x
  2. Step 2: Convert to fraction form
    19,591.50/29,390.26 = 6,440.78/x
  3. Step 3: Cross multiply
    19,591.50x = 29,390.26 × 6,440.78
  4. Step 4: Simplify right side
    19,591.50x = 189,296,198.80
  5. Step 5: Solve for x
    x = 189,296,198.80/19,591.50
  6. Step 6: Final answer
    x = 9,662.16

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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.