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Finding the Fourth Proportional to 13,970.10, 20,930.52 and 7,381.80

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Solution

The fourth proportional to 13,970.10, 20,930.52 and 7,381.80 is: 11,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.10 : 20,930.52 = 7,381.80 : x
  2. Step 2: Convert to fraction form
    13,970.10/20,930.52 = 7,381.80/x
  3. Step 3: Cross multiply
    13,970.10x = 20,930.52 × 7,381.80
  4. Step 4: Simplify right side
    13,970.10x = 154,504,912.54
  5. Step 5: Solve for x
    x = 154,504,912.54/13,970.10
  6. Step 6: Final answer
    x = 11,059.69

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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.