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Finding the Fourth Proportional to 17,729.70, 24,466.89 and 9,771.75

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Solution

The fourth proportional to 17,729.70, 24,466.89 and 9,771.75 is: 13,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.70 : 24,466.89 = 9,771.75 : x
  2. Step 2: Convert to fraction form
    17,729.70/24,466.89 = 9,771.75/x
  3. Step 3: Cross multiply
    17,729.70x = 24,466.89 × 9,771.75
  4. Step 4: Simplify right side
    17,729.70x = 239,084,369.00
  5. Step 5: Solve for x
    x = 239,084,369.00/17,729.70
  6. Step 6: Final answer
    x = 13,484.97

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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.