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Finding the Fourth Proportional to 12,604.92, 18,907.37 and 5,201.24

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Solution

The fourth proportional to 12,604.92, 18,907.37 and 5,201.24 is: 7,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.92 : 18,907.37 = 5,201.24 : x
  2. Step 2: Convert to fraction form
    12,604.92/18,907.37 = 5,201.24/x
  3. Step 3: Cross multiply
    12,604.92x = 18,907.37 × 5,201.24
  4. Step 4: Simplify right side
    12,604.92x = 98,341,668.10
  5. Step 5: Solve for x
    x = 98,341,668.10/12,604.92
  6. Step 6: Final answer
    x = 7,801.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.