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Finding the Fourth Proportional to 17,768.72, 24,522.44 and 10,694

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Solution

The fourth proportional to 17,768.72, 24,522.44 and 10,694 is: 14,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.72 : 24,522.44 = 10,694 : x
  2. Step 2: Convert to fraction form
    17,768.72/24,522.44 = 10,694/x
  3. Step 3: Cross multiply
    17,768.72x = 24,522.44 × 10,694
  4. Step 4: Simplify right side
    17,768.72x = 262,242,973.36
  5. Step 5: Solve for x
    x = 262,242,973.36/17,768.72
  6. Step 6: Final answer
    x = 14,758.69

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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.