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Finding the Fourth Proportional to 23,210.97, 34,816.41 and 8,419.86

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Solution

The fourth proportional to 23,210.97, 34,816.41 and 8,419.86 is: 12,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.97 : 34,816.41 = 8,419.86 : x
  2. Step 2: Convert to fraction form
    23,210.97/34,816.41 = 8,419.86/x
  3. Step 3: Cross multiply
    23,210.97x = 34,816.41 × 8,419.86
  4. Step 4: Simplify right side
    23,210.97x = 293,149,297.90
  5. Step 5: Solve for x
    x = 293,149,297.90/23,210.97
  6. Step 6: Final answer
    x = 12,629.77

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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.