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Finding the Fourth Proportional to 13,059.84, 19,589.76 and 3,825.84

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Solution

The fourth proportional to 13,059.84, 19,589.76 and 3,825.84 is: 5,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.84 : 19,589.76 = 3,825.84 : x
  2. Step 2: Convert to fraction form
    13,059.84/19,589.76 = 3,825.84/x
  3. Step 3: Cross multiply
    13,059.84x = 19,589.76 × 3,825.84
  4. Step 4: Simplify right side
    13,059.84x = 74,947,287.40
  5. Step 5: Solve for x
    x = 74,947,287.40/13,059.84
  6. Step 6: Final answer
    x = 5,738.76

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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.