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Finding the Fourth Proportional to 15,268.46, 22,902.62 and 5,408.46

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Solution

The fourth proportional to 15,268.46, 22,902.62 and 5,408.46 is: 8,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,268.46 : 22,902.62 = 5,408.46 : x
  2. Step 2: Convert to fraction form
    15,268.46/22,902.62 = 5,408.46/x
  3. Step 3: Cross multiply
    15,268.46x = 22,902.62 × 5,408.46
  4. Step 4: Simplify right side
    15,268.46x = 123,867,877.12
  5. Step 5: Solve for x
    x = 123,867,877.12/15,268.46
  6. Step 6: Final answer
    x = 8,112.67

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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.