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Finding the Fourth Proportional to 28,141.30, 42,202.23 and 8,419.42

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Solution

The fourth proportional to 28,141.30, 42,202.23 and 8,419.42 is: 12,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,141.30 : 42,202.23 = 8,419.42 : x
  2. Step 2: Convert to fraction form
    28,141.30/42,202.23 = 8,419.42/x
  3. Step 3: Cross multiply
    28,141.30x = 42,202.23 × 8,419.42
  4. Step 4: Simplify right side
    28,141.30x = 355,318,299.31
  5. Step 5: Solve for x
    x = 355,318,299.31/28,141.30
  6. Step 6: Final answer
    x = 12,626.22

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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.