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Finding the Fourth Proportional to 23,092.70, 34,624.60 and 9,758.80

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Solution

The fourth proportional to 23,092.70, 34,624.60 and 9,758.80 is: 14,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.70 : 34,624.60 = 9,758.80 : x
  2. Step 2: Convert to fraction form
    23,092.70/34,624.60 = 9,758.80/x
  3. Step 3: Cross multiply
    23,092.70x = 34,624.60 × 9,758.80
  4. Step 4: Simplify right side
    23,092.70x = 337,894,546.48
  5. Step 5: Solve for x
    x = 337,894,546.48/23,092.70
  6. Step 6: Final answer
    x = 14,632.09

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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.