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Finding the Fourth Proportional to 26,913.69, 40,365.84 and 8,189.19

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Solution

The fourth proportional to 26,913.69, 40,365.84 and 8,189.19 is: 12,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,913.69 : 40,365.84 = 8,189.19 : x
  2. Step 2: Convert to fraction form
    26,913.69/40,365.84 = 8,189.19/x
  3. Step 3: Cross multiply
    26,913.69x = 40,365.84 × 8,189.19
  4. Step 4: Simplify right side
    26,913.69x = 330,563,533.27
  5. Step 5: Solve for x
    x = 330,563,533.27/26,913.69
  6. Step 6: Final answer
    x = 12,282.36

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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.