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Finding the Fourth Proportional to 23,630.62, 35,443.98 and 7,830.49

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Solution

The fourth proportional to 23,630.62, 35,443.98 and 7,830.49 is: 11,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630.62 : 35,443.98 = 7,830.49 : x
  2. Step 2: Convert to fraction form
    23,630.62/35,443.98 = 7,830.49/x
  3. Step 3: Cross multiply
    23,630.62x = 35,443.98 × 7,830.49
  4. Step 4: Simplify right side
    23,630.62x = 277,543,708.80
  5. Step 5: Solve for x
    x = 277,543,708.80/23,630.62
  6. Step 6: Final answer
    x = 11,745.09

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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.