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Finding the Fourth Proportional to 13,383.86, 20,112.11 and 7,148.21

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Solution

The fourth proportional to 13,383.86, 20,112.11 and 7,148.21 is: 10,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.86 : 20,112.11 = 7,148.21 : x
  2. Step 2: Convert to fraction form
    13,383.86/20,112.11 = 7,148.21/x
  3. Step 3: Cross multiply
    13,383.86x = 20,112.11 × 7,148.21
  4. Step 4: Simplify right side
    13,383.86x = 143,765,585.82
  5. Step 5: Solve for x
    x = 143,765,585.82/13,383.86
  6. Step 6: Final answer
    x = 10,741.71

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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.