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Finding the Fourth Proportional to 12,604.66, 18,906.99 and 5,200.99

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Solution

The fourth proportional to 12,604.66, 18,906.99 and 5,200.99 is: 7,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.66 : 18,906.99 = 5,200.99 : x
  2. Step 2: Convert to fraction form
    12,604.66/18,906.99 = 5,200.99/x
  3. Step 3: Cross multiply
    12,604.66x = 18,906.99 × 5,200.99
  4. Step 4: Simplify right side
    12,604.66x = 98,335,065.92
  5. Step 5: Solve for x
    x = 98,335,065.92/12,604.66
  6. Step 6: Final answer
    x = 7,801.49

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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.