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Finding the Fourth Proportional to 23,902.16, 35,859.12 and 8,319.92

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Solution

The fourth proportional to 23,902.16, 35,859.12 and 8,319.92 is: 12,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.16 : 35,859.12 = 8,319.92 : x
  2. Step 2: Convert to fraction form
    23,902.16/35,859.12 = 8,319.92/x
  3. Step 3: Cross multiply
    23,902.16x = 35,859.12 × 8,319.92
  4. Step 4: Simplify right side
    23,902.16x = 298,345,009.67
  5. Step 5: Solve for x
    x = 298,345,009.67/23,902.16
  6. Step 6: Final answer
    x = 12,481.93

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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.