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Finding the Fourth Proportional to 14,676.33, 21,992.58 and 5,906.46

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Solution

The fourth proportional to 14,676.33, 21,992.58 and 5,906.46 is: 8,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.33 : 21,992.58 = 5,906.46 : x
  2. Step 2: Convert to fraction form
    14,676.33/21,992.58 = 5,906.46/x
  3. Step 3: Cross multiply
    14,676.33x = 21,992.58 × 5,906.46
  4. Step 4: Simplify right side
    14,676.33x = 129,898,294.07
  5. Step 5: Solve for x
    x = 129,898,294.07/14,676.33
  6. Step 6: Final answer
    x = 8,850.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.