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Finding the Fourth Proportional to 13,910.94, 20,854.06 and 5,143.80

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Solution

The fourth proportional to 13,910.94, 20,854.06 and 5,143.80 is: 7,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.94 : 20,854.06 = 5,143.80 : x
  2. Step 2: Convert to fraction form
    13,910.94/20,854.06 = 5,143.80/x
  3. Step 3: Cross multiply
    13,910.94x = 20,854.06 × 5,143.80
  4. Step 4: Simplify right side
    13,910.94x = 107,269,179.17
  5. Step 5: Solve for x
    x = 107,269,179.17/13,910.94
  6. Step 6: Final answer
    x = 7,711.14

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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.