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Finding the Fourth Proportional to 23,830.92, 35,717.22 and 8,230.32

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Solution

The fourth proportional to 23,830.92, 35,717.22 and 8,230.32 is: 12,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.92 : 35,717.22 = 8,230.32 : x
  2. Step 2: Convert to fraction form
    23,830.92/35,717.22 = 8,230.32/x
  3. Step 3: Cross multiply
    23,830.92x = 35,717.22 × 8,230.32
  4. Step 4: Simplify right side
    23,830.92x = 293,964,150.11
  5. Step 5: Solve for x
    x = 293,964,150.11/23,830.92
  6. Step 6: Final answer
    x = 12,335.41

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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.