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Finding the Fourth Proportional to 23,142.92, 34,716.41 and 6,503.09

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Solution

The fourth proportional to 23,142.92, 34,716.41 and 6,503.09 is: 9,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.92 : 34,716.41 = 6,503.09 : x
  2. Step 2: Convert to fraction form
    23,142.92/34,716.41 = 6,503.09/x
  3. Step 3: Cross multiply
    23,142.92x = 34,716.41 × 6,503.09
  4. Step 4: Simplify right side
    23,142.92x = 225,764,041.76
  5. Step 5: Solve for x
    x = 225,764,041.76/23,142.92
  6. Step 6: Final answer
    x = 9,755.21

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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.