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Finding the Fourth Proportional to 26,205.69, 36,164.62 and 14,269.53

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Solution

The fourth proportional to 26,205.69, 36,164.62 and 14,269.53 is: 19,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.69 : 36,164.62 = 14,269.53 : x
  2. Step 2: Convert to fraction form
    26,205.69/36,164.62 = 14,269.53/x
  3. Step 3: Cross multiply
    26,205.69x = 36,164.62 × 14,269.53
  4. Step 4: Simplify right side
    26,205.69x = 516,052,130.03
  5. Step 5: Solve for x
    x = 516,052,130.03/26,205.69
  6. Step 6: Final answer
    x = 19,692.37

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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.