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Finding the Fourth Proportional to 23,388.57, 35,083.16 and 7,806.20

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Solution

The fourth proportional to 23,388.57, 35,083.16 and 7,806.20 is: 11,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388.57 : 35,083.16 = 7,806.20 : x
  2. Step 2: Convert to fraction form
    23,388.57/35,083.16 = 7,806.20/x
  3. Step 3: Cross multiply
    23,388.57x = 35,083.16 × 7,806.20
  4. Step 4: Simplify right side
    23,388.57x = 273,865,949.15
  5. Step 5: Solve for x
    x = 273,865,949.15/23,388.57
  6. Step 6: Final answer
    x = 11,709.39

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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.