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Finding the Fourth Proportional to 13,120.95, 19,687.25 and 6,879.49

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Solution

The fourth proportional to 13,120.95, 19,687.25 and 6,879.49 is: 10,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.95 : 19,687.25 = 6,879.49 : x
  2. Step 2: Convert to fraction form
    13,120.95/19,687.25 = 6,879.49/x
  3. Step 3: Cross multiply
    13,120.95x = 19,687.25 × 6,879.49
  4. Step 4: Simplify right side
    13,120.95x = 135,438,239.50
  5. Step 5: Solve for x
    x = 135,438,239.50/13,120.95
  6. Step 6: Final answer
    x = 10,322.29

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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.