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Finding the Fourth Proportional to 23,022.60, 34,528.91 and 8,232.54

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Solution

The fourth proportional to 23,022.60, 34,528.91 and 8,232.54 is: 12,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.60 : 34,528.91 = 8,232.54 : x
  2. Step 2: Convert to fraction form
    23,022.60/34,528.91 = 8,232.54/x
  3. Step 3: Cross multiply
    23,022.60x = 34,528.91 × 8,232.54
  4. Step 4: Simplify right side
    23,022.60x = 284,260,591.57
  5. Step 5: Solve for x
    x = 284,260,591.57/23,022.60
  6. Step 6: Final answer
    x = 12,347.02

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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.