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Finding the Fourth Proportional to 23,744.85, 35,617.42 and 7,103.30

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Solution

The fourth proportional to 23,744.85, 35,617.42 and 7,103.30 is: 10,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.85 : 35,617.42 = 7,103.30 : x
  2. Step 2: Convert to fraction form
    23,744.85/35,617.42 = 7,103.30/x
  3. Step 3: Cross multiply
    23,744.85x = 35,617.42 × 7,103.30
  4. Step 4: Simplify right side
    23,744.85x = 253,001,050.28
  5. Step 5: Solve for x
    x = 253,001,050.28/23,744.85
  6. Step 6: Final answer
    x = 10,654.99

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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.