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Finding the Fourth Proportional to 22,769.70, 34,146.33 and 9,623.09

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Solution

The fourth proportional to 22,769.70, 34,146.33 and 9,623.09 is: 14,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.70 : 34,146.33 = 9,623.09 : x
  2. Step 2: Convert to fraction form
    22,769.70/34,146.33 = 9,623.09/x
  3. Step 3: Cross multiply
    22,769.70x = 34,146.33 × 9,623.09
  4. Step 4: Simplify right side
    22,769.70x = 328,593,036.03
  5. Step 5: Solve for x
    x = 328,593,036.03/22,769.70
  6. Step 6: Final answer
    x = 14,431.15

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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.