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Finding the Fourth Proportional to 17,738.44, 24,471.30 and 10,660.78

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Solution

The fourth proportional to 17,738.44, 24,471.30 and 10,660.78 is: 14,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.44 : 24,471.30 = 10,660.78 : x
  2. Step 2: Convert to fraction form
    17,738.44/24,471.30 = 10,660.78/x
  3. Step 3: Cross multiply
    17,738.44x = 24,471.30 × 10,660.78
  4. Step 4: Simplify right side
    17,738.44x = 260,883,145.61
  5. Step 5: Solve for x
    x = 260,883,145.61/17,738.44
  6. Step 6: Final answer
    x = 14,707.22

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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.