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Finding the Fourth Proportional to 26,161, 39,258.78 and 12,311.08

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Solution

The fourth proportional to 26,161, 39,258.78 and 12,311.08 is: 18,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,161 : 39,258.78 = 12,311.08 : x
  2. Step 2: Convert to fraction form
    26,161/39,258.78 = 12,311.08/x
  3. Step 3: Cross multiply
    26,161x = 39,258.78 × 12,311.08
  4. Step 4: Simplify right side
    26,161x = 483,317,981.28
  5. Step 5: Solve for x
    x = 483,317,981.28/26,161
  6. Step 6: Final answer
    x = 18,474.75

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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.