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Finding the Fourth Proportional to 11,738.43, 17,502.94 and 10,434.43

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Solution

The fourth proportional to 11,738.43, 17,502.94 and 10,434.43 is: 15,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.43 : 17,502.94 = 10,434.43 : x
  2. Step 2: Convert to fraction form
    11,738.43/17,502.94 = 10,434.43/x
  3. Step 3: Cross multiply
    11,738.43x = 17,502.94 × 10,434.43
  4. Step 4: Simplify right side
    11,738.43x = 182,633,114.71
  5. Step 5: Solve for x
    x = 182,633,114.71/11,738.43
  6. Step 6: Final answer
    x = 15,558.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.