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Finding the Fourth Proportional to 17,729.82, 24,467.67 and 9,772.14

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Solution

The fourth proportional to 17,729.82, 24,467.67 and 9,772.14 is: 13,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.82 : 24,467.67 = 9,772.14 : x
  2. Step 2: Convert to fraction form
    17,729.82/24,467.67 = 9,772.14/x
  3. Step 3: Cross multiply
    17,729.82x = 24,467.67 × 9,772.14
  4. Step 4: Simplify right side
    17,729.82x = 239,101,496.71
  5. Step 5: Solve for x
    x = 239,101,496.71/17,729.82
  6. Step 6: Final answer
    x = 13,485.84

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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.