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Finding the Fourth Proportional to 23,906.97, 35,860.50 and 9,874.98

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Solution

The fourth proportional to 23,906.97, 35,860.50 and 9,874.98 is: 14,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.97 : 35,860.50 = 9,874.98 : x
  2. Step 2: Convert to fraction form
    23,906.97/35,860.50 = 9,874.98/x
  3. Step 3: Cross multiply
    23,906.97x = 35,860.50 × 9,874.98
  4. Step 4: Simplify right side
    23,906.97x = 354,121,720.29
  5. Step 5: Solve for x
    x = 354,121,720.29/23,906.97
  6. Step 6: Final answer
    x = 14,812.49

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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.