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Finding the Fourth Proportional to 13,825.02, 20,735.49 and 6,803.17

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Solution

The fourth proportional to 13,825.02, 20,735.49 and 6,803.17 is: 10,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.02 : 20,735.49 = 6,803.17 : x
  2. Step 2: Convert to fraction form
    13,825.02/20,735.49 = 6,803.17/x
  3. Step 3: Cross multiply
    13,825.02x = 20,735.49 × 6,803.17
  4. Step 4: Simplify right side
    13,825.02x = 141,067,063.50
  5. Step 5: Solve for x
    x = 141,067,063.50/13,825.02
  6. Step 6: Final answer
    x = 10,203.75

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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.