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Finding the Fourth Proportional to 23,864, 35,789.12 and 7,220.12

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Solution

The fourth proportional to 23,864, 35,789.12 and 7,220.12 is: 10,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864 : 35,789.12 = 7,220.12 : x
  2. Step 2: Convert to fraction form
    23,864/35,789.12 = 7,220.12/x
  3. Step 3: Cross multiply
    23,864x = 35,789.12 × 7,220.12
  4. Step 4: Simplify right side
    23,864x = 258,401,704.99
  5. Step 5: Solve for x
    x = 258,401,704.99/23,864
  6. Step 6: Final answer
    x = 10,828.10

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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.