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Finding the Fourth Proportional to 22,954.85, 31,676.73 and 12,884.12

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Solution

The fourth proportional to 22,954.85, 31,676.73 and 12,884.12 is: 17,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.85 : 31,676.73 = 12,884.12 : x
  2. Step 2: Convert to fraction form
    22,954.85/31,676.73 = 12,884.12/x
  3. Step 3: Cross multiply
    22,954.85x = 31,676.73 × 12,884.12
  4. Step 4: Simplify right side
    22,954.85x = 408,126,790.53
  5. Step 5: Solve for x
    x = 408,126,790.53/22,954.85
  6. Step 6: Final answer
    x = 17,779.55

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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.