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Finding the Fourth Proportional to 23,604.80, 35,404.74 and 8,022.02

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Solution

The fourth proportional to 23,604.80, 35,404.74 and 8,022.02 is: 12,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.80 : 35,404.74 = 8,022.02 : x
  2. Step 2: Convert to fraction form
    23,604.80/35,404.74 = 8,022.02/x
  3. Step 3: Cross multiply
    23,604.80x = 35,404.74 × 8,022.02
  4. Step 4: Simplify right side
    23,604.80x = 284,017,532.37
  5. Step 5: Solve for x
    x = 284,017,532.37/23,604.80
  6. Step 6: Final answer
    x = 12,032.19

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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.