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Finding the Fourth Proportional to 23,769.98, 32,802.46 and 12,868.09

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Solution

The fourth proportional to 23,769.98, 32,802.46 and 12,868.09 is: 17,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.98 : 32,802.46 = 12,868.09 : x
  2. Step 2: Convert to fraction form
    23,769.98/32,802.46 = 12,868.09/x
  3. Step 3: Cross multiply
    23,769.98x = 32,802.46 × 12,868.09
  4. Step 4: Simplify right side
    23,769.98x = 422,105,007.50
  5. Step 5: Solve for x
    x = 422,105,007.50/23,769.98
  6. Step 6: Final answer
    x = 17,757.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.