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Finding the Fourth Proportional to 15,902.29, 23,850.73 and 4,216.69

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Solution

The fourth proportional to 15,902.29, 23,850.73 and 4,216.69 is: 6,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.29 : 23,850.73 = 4,216.69 : x
  2. Step 2: Convert to fraction form
    15,902.29/23,850.73 = 4,216.69/x
  3. Step 3: Cross multiply
    15,902.29x = 23,850.73 × 4,216.69
  4. Step 4: Simplify right side
    15,902.29x = 100,570,994.35
  5. Step 5: Solve for x
    x = 100,570,994.35/15,902.29
  6. Step 6: Final answer
    x = 6,324.31

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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.