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Finding the Fourth Proportional to 11,642.33, 17,463.65 and 3,322.34

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Solution

The fourth proportional to 11,642.33, 17,463.65 and 3,322.34 is: 4,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.33 : 17,463.65 = 3,322.34 : x
  2. Step 2: Convert to fraction form
    11,642.33/17,463.65 = 3,322.34/x
  3. Step 3: Cross multiply
    11,642.33x = 17,463.65 × 3,322.34
  4. Step 4: Simplify right side
    11,642.33x = 58,020,234.91
  5. Step 5: Solve for x
    x = 58,020,234.91/11,642.33
  6. Step 6: Final answer
    x = 4,983.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.