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Finding the Fourth Proportional to 17,884.14, 26,820.14 and 6,194.63

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Solution

The fourth proportional to 17,884.14, 26,820.14 and 6,194.63 is: 9,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.14 : 26,820.14 = 6,194.63 : x
  2. Step 2: Convert to fraction form
    17,884.14/26,820.14 = 6,194.63/x
  3. Step 3: Cross multiply
    17,884.14x = 26,820.14 × 6,194.63
  4. Step 4: Simplify right side
    17,884.14x = 166,140,678.77
  5. Step 5: Solve for x
    x = 166,140,678.77/17,884.14
  6. Step 6: Final answer
    x = 9,289.83

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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.