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Finding the Fourth Proportional to 22,676.38, 33,941.76 and 12,120

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Solution

The fourth proportional to 22,676.38, 33,941.76 and 12,120 is: 18,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.38 : 33,941.76 = 12,120 : x
  2. Step 2: Convert to fraction form
    22,676.38/33,941.76 = 12,120/x
  3. Step 3: Cross multiply
    22,676.38x = 33,941.76 × 12,120
  4. Step 4: Simplify right side
    22,676.38x = 411,374,131.20
  5. Step 5: Solve for x
    x = 411,374,131.20/22,676.38
  6. Step 6: Final answer
    x = 18,141.08

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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.