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Finding the Fourth Proportional to 17,626.25, 26,420.69 and 8,258.37

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Solution

The fourth proportional to 17,626.25, 26,420.69 and 8,258.37 is: 12,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.25 : 26,420.69 = 8,258.37 : x
  2. Step 2: Convert to fraction form
    17,626.25/26,420.69 = 8,258.37/x
  3. Step 3: Cross multiply
    17,626.25x = 26,420.69 × 8,258.37
  4. Step 4: Simplify right side
    17,626.25x = 218,191,833.68
  5. Step 5: Solve for x
    x = 218,191,833.68/17,626.25
  6. Step 6: Final answer
    x = 12,378.80

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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.