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Finding the Fourth Proportional to 23,466.80, 35,199.59 and 7,884.42

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Solution

The fourth proportional to 23,466.80, 35,199.59 and 7,884.42 is: 11,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.80 : 35,199.59 = 7,884.42 : x
  2. Step 2: Convert to fraction form
    23,466.80/35,199.59 = 7,884.42/x
  3. Step 3: Cross multiply
    23,466.80x = 35,199.59 × 7,884.42
  4. Step 4: Simplify right side
    23,466.80x = 277,528,311.97
  5. Step 5: Solve for x
    x = 277,528,311.97/23,466.80
  6. Step 6: Final answer
    x = 11,826.43

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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.