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Finding the Fourth Proportional to 23,633.10, 35,454.45 and 8,052.30

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Solution

The fourth proportional to 23,633.10, 35,454.45 and 8,052.30 is: 12,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.10 : 35,454.45 = 8,052.30 : x
  2. Step 2: Convert to fraction form
    23,633.10/35,454.45 = 8,052.30/x
  3. Step 3: Cross multiply
    23,633.10x = 35,454.45 × 8,052.30
  4. Step 4: Simplify right side
    23,633.10x = 285,489,867.74
  5. Step 5: Solve for x
    x = 285,489,867.74/23,633.10
  6. Step 6: Final answer
    x = 12,080.09

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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.