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Finding the Fourth Proportional to 19,821.90, 29,729.61 and 7,338.99

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Solution

The fourth proportional to 19,821.90, 29,729.61 and 7,338.99 is: 11,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.90 : 29,729.61 = 7,338.99 : x
  2. Step 2: Convert to fraction form
    19,821.90/29,729.61 = 7,338.99/x
  3. Step 3: Cross multiply
    19,821.90x = 29,729.61 × 7,338.99
  4. Step 4: Simplify right side
    19,821.90x = 218,185,310.49
  5. Step 5: Solve for x
    x = 218,185,310.49/19,821.90
  6. Step 6: Final answer
    x = 11,007.29

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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.