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Finding the Fourth Proportional to 20,457.74, 30,686.64 and 6,418.84

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Solution

The fourth proportional to 20,457.74, 30,686.64 and 6,418.84 is: 9,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.74 : 30,686.64 = 6,418.84 : x
  2. Step 2: Convert to fraction form
    20,457.74/30,686.64 = 6,418.84/x
  3. Step 3: Cross multiply
    20,457.74x = 30,686.64 × 6,418.84
  4. Step 4: Simplify right side
    20,457.74x = 196,972,692.97
  5. Step 5: Solve for x
    x = 196,972,692.97/20,457.74
  6. Step 6: Final answer
    x = 9,628.27

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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.