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Finding the Fourth Proportional to 23,884.62, 35,830.17 and 8,300.22

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Solution

The fourth proportional to 23,884.62, 35,830.17 and 8,300.22 is: 12,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.62 : 35,830.17 = 8,300.22 : x
  2. Step 2: Convert to fraction form
    23,884.62/35,830.17 = 8,300.22/x
  3. Step 3: Cross multiply
    23,884.62x = 35,830.17 × 8,300.22
  4. Step 4: Simplify right side
    23,884.62x = 297,398,293.64
  5. Step 5: Solve for x
    x = 297,398,293.64/23,884.62
  6. Step 6: Final answer
    x = 12,451.46

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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.