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Finding the Fourth Proportional to 12,730.50, 19,096.29 and 3,496.50

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Solution

The fourth proportional to 12,730.50, 19,096.29 and 3,496.50 is: 5,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.50 : 19,096.29 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    12,730.50/19,096.29 = 3,496.50/x
  3. Step 3: Cross multiply
    12,730.50x = 19,096.29 × 3,496.50
  4. Step 4: Simplify right side
    12,730.50x = 66,770,177.99
  5. Step 5: Solve for x
    x = 66,770,177.99/12,730.50
  6. Step 6: Final answer
    x = 5,244.90

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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.