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Finding the Fourth Proportional to 15,420.74, 23,138.28 and 4,892.42

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Solution

The fourth proportional to 15,420.74, 23,138.28 and 4,892.42 is: 7,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.74 : 23,138.28 = 4,892.42 : x
  2. Step 2: Convert to fraction form
    15,420.74/23,138.28 = 4,892.42/x
  3. Step 3: Cross multiply
    15,420.74x = 23,138.28 × 4,892.42
  4. Step 4: Simplify right side
    15,420.74x = 113,202,183.84
  5. Step 5: Solve for x
    x = 113,202,183.84/15,420.74
  6. Step 6: Final answer
    x = 7,340.90

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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.