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Finding the Fourth Proportional to 17,729.74, 24,467.19 and 9,771.98

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Solution

The fourth proportional to 17,729.74, 24,467.19 and 9,771.98 is: 13,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.74 : 24,467.19 = 9,771.98 : x
  2. Step 2: Convert to fraction form
    17,729.74/24,467.19 = 9,771.98/x
  3. Step 3: Cross multiply
    17,729.74x = 24,467.19 × 9,771.98
  4. Step 4: Simplify right side
    17,729.74x = 239,092,952.50
  5. Step 5: Solve for x
    x = 239,092,952.50/17,729.74
  6. Step 6: Final answer
    x = 13,485.42

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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.