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Finding the Fourth Proportional to 13,825.46, 20,736.14 and 6,803.60

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Solution

The fourth proportional to 13,825.46, 20,736.14 and 6,803.60 is: 10,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.46 : 20,736.14 = 6,803.60 : x
  2. Step 2: Convert to fraction form
    13,825.46/20,736.14 = 6,803.60/x
  3. Step 3: Cross multiply
    13,825.46x = 20,736.14 × 6,803.60
  4. Step 4: Simplify right side
    13,825.46x = 141,080,402.10
  5. Step 5: Solve for x
    x = 141,080,402.10/13,825.46
  6. Step 6: Final answer
    x = 10,204.39

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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.