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Finding the Fourth Proportional to 13,150, 19,724.82 and 4,826.75

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Solution

The fourth proportional to 13,150, 19,724.82 and 4,826.75 is: 7,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150 : 19,724.82 = 4,826.75 : x
  2. Step 2: Convert to fraction form
    13,150/19,724.82 = 4,826.75/x
  3. Step 3: Cross multiply
    13,150x = 19,724.82 × 4,826.75
  4. Step 4: Simplify right side
    13,150x = 95,206,774.94
  5. Step 5: Solve for x
    x = 95,206,774.94/13,150
  6. Step 6: Final answer
    x = 7,240.06

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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.