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Finding the Fourth Proportional to 20,199.68, 30,268.16 and 13,602.56

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Solution

The fourth proportional to 20,199.68, 30,268.16 and 13,602.56 is: 20,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.68 : 30,268.16 = 13,602.56 : x
  2. Step 2: Convert to fraction form
    20,199.68/30,268.16 = 13,602.56/x
  3. Step 3: Cross multiply
    20,199.68x = 30,268.16 × 13,602.56
  4. Step 4: Simplify right side
    20,199.68x = 411,724,462.49
  5. Step 5: Solve for x
    x = 411,724,462.49/20,199.68
  6. Step 6: Final answer
    x = 20,382.72

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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.