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Finding the Fourth Proportional to 21,683.34, 29,923 and 11,747.34

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Solution

The fourth proportional to 21,683.34, 29,923 and 11,747.34 is: 16,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.34 : 29,923 = 11,747.34 : x
  2. Step 2: Convert to fraction form
    21,683.34/29,923 = 11,747.34/x
  3. Step 3: Cross multiply
    21,683.34x = 29,923 × 11,747.34
  4. Step 4: Simplify right side
    21,683.34x = 351,515,654.82
  5. Step 5: Solve for x
    x = 351,515,654.82/21,683.34
  6. Step 6: Final answer
    x = 16,211.32

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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.