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Finding the Fourth Proportional to 27,769.50, 38,339.46 and 17,165.16

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Solution

The fourth proportional to 27,769.50, 38,339.46 and 17,165.16 is: 23,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.50 : 38,339.46 = 17,165.16 : x
  2. Step 2: Convert to fraction form
    27,769.50/38,339.46 = 17,165.16/x
  3. Step 3: Cross multiply
    27,769.50x = 38,339.46 × 17,165.16
  4. Step 4: Simplify right side
    27,769.50x = 658,102,965.21
  5. Step 5: Solve for x
    x = 658,102,965.21/27,769.50
  6. Step 6: Final answer
    x = 23,698.77

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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.