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Finding the Fourth Proportional to 17,846.13, 24,631.11 and 10,297.34

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Solution

The fourth proportional to 17,846.13, 24,631.11 and 10,297.34 is: 14,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.13 : 24,631.11 = 10,297.34 : x
  2. Step 2: Convert to fraction form
    17,846.13/24,631.11 = 10,297.34/x
  3. Step 3: Cross multiply
    17,846.13x = 24,631.11 × 10,297.34
  4. Step 4: Simplify right side
    17,846.13x = 253,634,791.09
  5. Step 5: Solve for x
    x = 253,634,791.09/17,846.13
  6. Step 6: Final answer
    x = 14,212.31

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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.