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Finding the Fourth Proportional to 21,306.96, 29,403.67 and 12,813.97

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Solution

The fourth proportional to 21,306.96, 29,403.67 and 12,813.97 is: 17,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.96 : 29,403.67 = 12,813.97 : x
  2. Step 2: Convert to fraction form
    21,306.96/29,403.67 = 12,813.97/x
  3. Step 3: Cross multiply
    21,306.96x = 29,403.67 × 12,813.97
  4. Step 4: Simplify right side
    21,306.96x = 376,777,745.27
  5. Step 5: Solve for x
    x = 376,777,745.27/21,306.96
  6. Step 6: Final answer
    x = 17,683.32

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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.