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Finding the Fourth Proportional to 13,810.49, 20,715.81 and 3,949.85

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Solution

The fourth proportional to 13,810.49, 20,715.81 and 3,949.85 is: 5,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.49 : 20,715.81 = 3,949.85 : x
  2. Step 2: Convert to fraction form
    13,810.49/20,715.81 = 3,949.85/x
  3. Step 3: Cross multiply
    13,810.49x = 20,715.81 × 3,949.85
  4. Step 4: Simplify right side
    13,810.49x = 81,824,393.92
  5. Step 5: Solve for x
    x = 81,824,393.92/13,810.49
  6. Step 6: Final answer
    x = 5,924.80

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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.