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Finding the Fourth Proportional to 26,205.50, 36,163.05 and 14,269.06

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Solution

The fourth proportional to 26,205.50, 36,163.05 and 14,269.06 is: 19,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.50 : 36,163.05 = 14,269.06 : x
  2. Step 2: Convert to fraction form
    26,205.50/36,163.05 = 14,269.06/x
  3. Step 3: Cross multiply
    26,205.50x = 36,163.05 × 14,269.06
  4. Step 4: Simplify right side
    26,205.50x = 516,012,730.23
  5. Step 5: Solve for x
    x = 516,012,730.23/26,205.50
  6. Step 6: Final answer
    x = 19,691.01

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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.