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Finding the Fourth Proportional to 26,597.40, 39,896.10 and 8,129.40

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Solution

The fourth proportional to 26,597.40, 39,896.10 and 8,129.40 is: 12,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597.40 : 39,896.10 = 8,129.40 : x
  2. Step 2: Convert to fraction form
    26,597.40/39,896.10 = 8,129.40/x
  3. Step 3: Cross multiply
    26,597.40x = 39,896.10 × 8,129.40
  4. Step 4: Simplify right side
    26,597.40x = 324,331,355.34
  5. Step 5: Solve for x
    x = 324,331,355.34/26,597.40
  6. Step 6: Final answer
    x = 12,194.10

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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.