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Finding the Fourth Proportional to 19,892.69, 29,820.57 and 6,735.86

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Solution

The fourth proportional to 19,892.69, 29,820.57 and 6,735.86 is: 10,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.69 : 29,820.57 = 6,735.86 : x
  2. Step 2: Convert to fraction form
    19,892.69/29,820.57 = 6,735.86/x
  3. Step 3: Cross multiply
    19,892.69x = 29,820.57 × 6,735.86
  4. Step 4: Simplify right side
    19,892.69x = 200,867,035.54
  5. Step 5: Solve for x
    x = 200,867,035.54/19,892.69
  6. Step 6: Final answer
    x = 10,097.53

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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.