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Finding the Fourth Proportional to 28,206.57, 42,268.26 and 15,709.38

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Solution

The fourth proportional to 28,206.57, 42,268.26 and 15,709.38 is: 23,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.57 : 42,268.26 = 15,709.38 : x
  2. Step 2: Convert to fraction form
    28,206.57/42,268.26 = 15,709.38/x
  3. Step 3: Cross multiply
    28,206.57x = 42,268.26 × 15,709.38
  4. Step 4: Simplify right side
    28,206.57x = 664,008,158.28
  5. Step 5: Solve for x
    x = 664,008,158.28/28,206.57
  6. Step 6: Final answer
    x = 23,540.90

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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.