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Finding the Fourth Proportional to 20,297.85, 30,449.67 and 6,259.06

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Solution

The fourth proportional to 20,297.85, 30,449.67 and 6,259.06 is: 9,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.85 : 30,449.67 = 6,259.06 : x
  2. Step 2: Convert to fraction form
    20,297.85/30,449.67 = 6,259.06/x
  3. Step 3: Cross multiply
    20,297.85x = 30,449.67 × 6,259.06
  4. Step 4: Simplify right side
    20,297.85x = 190,586,311.51
  5. Step 5: Solve for x
    x = 190,586,311.51/20,297.85
  6. Step 6: Final answer
    x = 9,389.48

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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.