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Finding the Fourth Proportional to 20,415.68, 30,626.25 and 7,268.16

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Solution

The fourth proportional to 20,415.68, 30,626.25 and 7,268.16 is: 10,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.68 : 30,626.25 = 7,268.16 : x
  2. Step 2: Convert to fraction form
    20,415.68/30,626.25 = 7,268.16/x
  3. Step 3: Cross multiply
    20,415.68x = 30,626.25 × 7,268.16
  4. Step 4: Simplify right side
    20,415.68x = 222,596,457.94
  5. Step 5: Solve for x
    x = 222,596,457.94/20,415.68
  6. Step 6: Final answer
    x = 10,903.21

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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.