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Finding the Fourth Proportional to 13,496.94, 20,246.49 and 5,180.94

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Solution

The fourth proportional to 13,496.94, 20,246.49 and 5,180.94 is: 7,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.94 : 20,246.49 = 5,180.94 : x
  2. Step 2: Convert to fraction form
    13,496.94/20,246.49 = 5,180.94/x
  3. Step 3: Cross multiply
    13,496.94x = 20,246.49 × 5,180.94
  4. Step 4: Simplify right side
    13,496.94x = 104,895,849.90
  5. Step 5: Solve for x
    x = 104,895,849.90/13,496.94
  6. Step 6: Final answer
    x = 7,771.82

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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.