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Finding the Fourth Proportional to 26,091.42, 36,006.30 and 20,112

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Solution

The fourth proportional to 26,091.42, 36,006.30 and 20,112 is: 27,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,091.42 : 36,006.30 = 20,112 : x
  2. Step 2: Convert to fraction form
    26,091.42/36,006.30 = 20,112/x
  3. Step 3: Cross multiply
    26,091.42x = 36,006.30 × 20,112
  4. Step 4: Simplify right side
    26,091.42x = 724,158,705.60
  5. Step 5: Solve for x
    x = 724,158,705.60/26,091.42
  6. Step 6: Final answer
    x = 27,754.67

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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.