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Finding the Fourth Proportional to 23,874.13, 35,812.32 and 7,864.68

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Solution

The fourth proportional to 23,874.13, 35,812.32 and 7,864.68 is: 11,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.13 : 35,812.32 = 7,864.68 : x
  2. Step 2: Convert to fraction form
    23,874.13/35,812.32 = 7,864.68/x
  3. Step 3: Cross multiply
    23,874.13x = 35,812.32 × 7,864.68
  4. Step 4: Simplify right side
    23,874.13x = 281,652,436.86
  5. Step 5: Solve for x
    x = 281,652,436.86/23,874.13
  6. Step 6: Final answer
    x = 11,797.39

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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.