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Finding the Fourth Proportional to 17,717.51, 24,448.11 and 10,161.75

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Solution

The fourth proportional to 17,717.51, 24,448.11 and 10,161.75 is: 14,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.51 : 24,448.11 = 10,161.75 : x
  2. Step 2: Convert to fraction form
    17,717.51/24,448.11 = 10,161.75/x
  3. Step 3: Cross multiply
    17,717.51x = 24,448.11 × 10,161.75
  4. Step 4: Simplify right side
    17,717.51x = 248,435,581.79
  5. Step 5: Solve for x
    x = 248,435,581.79/17,717.51
  6. Step 6: Final answer
    x = 14,022.04

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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.