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Finding the Fourth Proportional to 19,824.26, 29,735.80 and 7,344

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Solution

The fourth proportional to 19,824.26, 29,735.80 and 7,344 is: 11,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.26 : 29,735.80 = 7,344 : x
  2. Step 2: Convert to fraction form
    19,824.26/29,735.80 = 7,344/x
  3. Step 3: Cross multiply
    19,824.26x = 29,735.80 × 7,344
  4. Step 4: Simplify right side
    19,824.26x = 218,379,715.20
  5. Step 5: Solve for x
    x = 218,379,715.20/19,824.26
  6. Step 6: Final answer
    x = 11,015.78

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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.