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Finding the Fourth Proportional to 13,945.50, 19,245.09 and 7,657.88

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Solution

The fourth proportional to 13,945.50, 19,245.09 and 7,657.88 is: 10,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.50 : 19,245.09 = 7,657.88 : x
  2. Step 2: Convert to fraction form
    13,945.50/19,245.09 = 7,657.88/x
  3. Step 3: Cross multiply
    13,945.50x = 19,245.09 × 7,657.88
  4. Step 4: Simplify right side
    13,945.50x = 147,376,522.30
  5. Step 5: Solve for x
    x = 147,376,522.30/13,945.50
  6. Step 6: Final answer
    x = 10,568.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.