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Finding the Fourth Proportional to 19,757.13, 29,647.38 and 7,285.92

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Solution

The fourth proportional to 19,757.13, 29,647.38 and 7,285.92 is: 10,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.13 : 29,647.38 = 7,285.92 : x
  2. Step 2: Convert to fraction form
    19,757.13/29,647.38 = 7,285.92/x
  3. Step 3: Cross multiply
    19,757.13x = 29,647.38 × 7,285.92
  4. Step 4: Simplify right side
    19,757.13x = 216,008,438.89
  5. Step 5: Solve for x
    x = 216,008,438.89/19,757.13
  6. Step 6: Final answer
    x = 10,933.19

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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.