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Finding the Fourth Proportional to 15,881.54, 23,825.50 and 5,351.14

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Solution

The fourth proportional to 15,881.54, 23,825.50 and 5,351.14 is: 8,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.54 : 23,825.50 = 5,351.14 : x
  2. Step 2: Convert to fraction form
    15,881.54/23,825.50 = 5,351.14/x
  3. Step 3: Cross multiply
    15,881.54x = 23,825.50 × 5,351.14
  4. Step 4: Simplify right side
    15,881.54x = 127,493,586.07
  5. Step 5: Solve for x
    x = 127,493,586.07/15,881.54
  6. Step 6: Final answer
    x = 8,027.78

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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.