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Finding the Fourth Proportional to 11,738.45, 17,626.01 and 10,477.28

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Solution

The fourth proportional to 11,738.45, 17,626.01 and 10,477.28 is: 15,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.45 : 17,626.01 = 10,477.28 : x
  2. Step 2: Convert to fraction form
    11,738.45/17,626.01 = 10,477.28/x
  3. Step 3: Cross multiply
    11,738.45x = 17,626.01 × 10,477.28
  4. Step 4: Simplify right side
    11,738.45x = 184,672,633.73
  5. Step 5: Solve for x
    x = 184,672,633.73/11,738.45
  6. Step 6: Final answer
    x = 15,732.28

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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.