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Finding the Fourth Proportional to 26,205.95, 36,164.85 and 14,269.94

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Solution

The fourth proportional to 26,205.95, 36,164.85 and 14,269.94 is: 19,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.95 : 36,164.85 = 14,269.94 : x
  2. Step 2: Convert to fraction form
    26,205.95/36,164.85 = 14,269.94/x
  3. Step 3: Cross multiply
    26,205.95x = 36,164.85 × 14,269.94
  4. Step 4: Simplify right side
    26,205.95x = 516,070,058.78
  5. Step 5: Solve for x
    x = 516,070,058.78/26,205.95
  6. Step 6: Final answer
    x = 19,692.86

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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.