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Finding the Fourth Proportional to 17,729.33, 24,467.55 and 9,771.54

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Solution

The fourth proportional to 17,729.33, 24,467.55 and 9,771.54 is: 13,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.33 : 24,467.55 = 9,771.54 : x
  2. Step 2: Convert to fraction form
    17,729.33/24,467.55 = 9,771.54/x
  3. Step 3: Cross multiply
    17,729.33x = 24,467.55 × 9,771.54
  4. Step 4: Simplify right side
    17,729.33x = 239,085,643.53
  5. Step 5: Solve for x
    x = 239,085,643.53/17,729.33
  6. Step 6: Final answer
    x = 13,485.32

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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.