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Finding the Fourth Proportional to 19,505, 29,257.50 and 5,654.12

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Solution

The fourth proportional to 19,505, 29,257.50 and 5,654.12 is: 8,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505 : 29,257.50 = 5,654.12 : x
  2. Step 2: Convert to fraction form
    19,505/29,257.50 = 5,654.12/x
  3. Step 3: Cross multiply
    19,505x = 29,257.50 × 5,654.12
  4. Step 4: Simplify right side
    19,505x = 165,425,415.90
  5. Step 5: Solve for x
    x = 165,425,415.90/19,505
  6. Step 6: Final answer
    x = 8,481.18

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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.