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Finding the Fourth Proportional to 23,257.89, 34,898.38 and 9,217.61

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Solution

The fourth proportional to 23,257.89, 34,898.38 and 9,217.61 is: 13,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.89 : 34,898.38 = 9,217.61 : x
  2. Step 2: Convert to fraction form
    23,257.89/34,898.38 = 9,217.61/x
  3. Step 3: Cross multiply
    23,257.89x = 34,898.38 × 9,217.61
  4. Step 4: Simplify right side
    23,257.89x = 321,679,786.11
  5. Step 5: Solve for x
    x = 321,679,786.11/23,257.89
  6. Step 6: Final answer
    x = 13,830.99

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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.