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Finding the Fourth Proportional to 17,717, 24,447.32 and 10,162.94

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Solution

The fourth proportional to 17,717, 24,447.32 and 10,162.94 is: 14,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717 : 24,447.32 = 10,162.94 : x
  2. Step 2: Convert to fraction form
    17,717/24,447.32 = 10,162.94/x
  3. Step 3: Cross multiply
    17,717x = 24,447.32 × 10,162.94
  4. Step 4: Simplify right side
    17,717x = 248,456,646.32
  5. Step 5: Solve for x
    x = 248,456,646.32/17,717
  6. Step 6: Final answer
    x = 14,023.63

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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.