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Finding the Fourth Proportional to 19,538.82, 29,302.25 and 7,057.31

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Solution

The fourth proportional to 19,538.82, 29,302.25 and 7,057.31 is: 10,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.82 : 29,302.25 = 7,057.31 : x
  2. Step 2: Convert to fraction form
    19,538.82/29,302.25 = 7,057.31/x
  3. Step 3: Cross multiply
    19,538.82x = 29,302.25 × 7,057.31
  4. Step 4: Simplify right side
    19,538.82x = 206,794,880.15
  5. Step 5: Solve for x
    x = 206,794,880.15/19,538.82
  6. Step 6: Final answer
    x = 10,583.80

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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.