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Finding the Fourth Proportional to 23,794.10, 35,707.59 and 8,211.78

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Solution

The fourth proportional to 23,794.10, 35,707.59 and 8,211.78 is: 12,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.10 : 35,707.59 = 8,211.78 : x
  2. Step 2: Convert to fraction form
    23,794.10/35,707.59 = 8,211.78/x
  3. Step 3: Cross multiply
    23,794.10x = 35,707.59 × 8,211.78
  4. Step 4: Simplify right side
    23,794.10x = 293,222,873.41
  5. Step 5: Solve for x
    x = 293,222,873.41/23,794.10
  6. Step 6: Final answer
    x = 12,323.34

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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.