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Finding the Fourth Proportional to 22,035.29, 30,408.71 and 11,963.75

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Solution

The fourth proportional to 22,035.29, 30,408.71 and 11,963.75 is: 16,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.29 : 30,408.71 = 11,963.75 : x
  2. Step 2: Convert to fraction form
    22,035.29/30,408.71 = 11,963.75/x
  3. Step 3: Cross multiply
    22,035.29x = 30,408.71 × 11,963.75
  4. Step 4: Simplify right side
    22,035.29x = 363,801,992.40
  5. Step 5: Solve for x
    x = 363,801,992.40/22,035.29
  6. Step 6: Final answer
    x = 16,509.97

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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.