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Finding the Fourth Proportional to 17,924.92, 24,732.78 and 10,471.48

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Solution

The fourth proportional to 17,924.92, 24,732.78 and 10,471.48 is: 14,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.92 : 24,732.78 = 10,471.48 : x
  2. Step 2: Convert to fraction form
    17,924.92/24,732.78 = 10,471.48/x
  3. Step 3: Cross multiply
    17,924.92x = 24,732.78 × 10,471.48
  4. Step 4: Simplify right side
    17,924.92x = 258,988,811.11
  5. Step 5: Solve for x
    x = 258,988,811.11/17,924.92
  6. Step 6: Final answer
    x = 14,448.53

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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.