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Finding the Fourth Proportional to 13,825.75, 20,738.91 and 3,437.50

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Solution

The fourth proportional to 13,825.75, 20,738.91 and 3,437.50 is: 5,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.75 : 20,738.91 = 3,437.50 : x
  2. Step 2: Convert to fraction form
    13,825.75/20,738.91 = 3,437.50/x
  3. Step 3: Cross multiply
    13,825.75x = 20,738.91 × 3,437.50
  4. Step 4: Simplify right side
    13,825.75x = 71,290,003.13
  5. Step 5: Solve for x
    x = 71,290,003.13/13,825.75
  6. Step 6: Final answer
    x = 5,156.32

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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.