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Finding the Fourth Proportional to 26,823.38, 40,235.06 and 8,355.38

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Solution

The fourth proportional to 26,823.38, 40,235.06 and 8,355.38 is: 12,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.38 : 40,235.06 = 8,355.38 : x
  2. Step 2: Convert to fraction form
    26,823.38/40,235.06 = 8,355.38/x
  3. Step 3: Cross multiply
    26,823.38x = 40,235.06 × 8,355.38
  4. Step 4: Simplify right side
    26,823.38x = 336,179,035.34
  5. Step 5: Solve for x
    x = 336,179,035.34/26,823.38
  6. Step 6: Final answer
    x = 12,533.06

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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.