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Finding the Fourth Proportional to 15,906.46, 23,855.10 and 6,418.78

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Solution

The fourth proportional to 15,906.46, 23,855.10 and 6,418.78 is: 9,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.46 : 23,855.10 = 6,418.78 : x
  2. Step 2: Convert to fraction form
    15,906.46/23,855.10 = 6,418.78/x
  3. Step 3: Cross multiply
    15,906.46x = 23,855.10 × 6,418.78
  4. Step 4: Simplify right side
    15,906.46x = 153,120,638.78
  5. Step 5: Solve for x
    x = 153,120,638.78/15,906.46
  6. Step 6: Final answer
    x = 9,626.32

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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.