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Finding the Fourth Proportional to 27,759.70, 38,311.41 and 17,697.34

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Solution

The fourth proportional to 27,759.70, 38,311.41 and 17,697.34 is: 24,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759.70 : 38,311.41 = 17,697.34 : x
  2. Step 2: Convert to fraction form
    27,759.70/38,311.41 = 17,697.34/x
  3. Step 3: Cross multiply
    27,759.70x = 38,311.41 × 17,697.34
  4. Step 4: Simplify right side
    27,759.70x = 678,010,048.65
  5. Step 5: Solve for x
    x = 678,010,048.65/27,759.70
  6. Step 6: Final answer
    x = 24,424.26

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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.