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Finding the Fourth Proportional to 17,744, 24,496.32 and 10,672

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Solution

The fourth proportional to 17,744, 24,496.32 and 10,672 is: 14,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744 : 24,496.32 = 10,672 : x
  2. Step 2: Convert to fraction form
    17,744/24,496.32 = 10,672/x
  3. Step 3: Cross multiply
    17,744x = 24,496.32 × 10,672
  4. Step 4: Simplify right side
    17,744x = 261,424,727.04
  5. Step 5: Solve for x
    x = 261,424,727.04/17,744
  6. Step 6: Final answer
    x = 14,733.13

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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.