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Finding the Fourth Proportional to 13,886.49, 20,803.56 and 6,858.27

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Solution

The fourth proportional to 13,886.49, 20,803.56 and 6,858.27 is: 10,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.49 : 20,803.56 = 6,858.27 : x
  2. Step 2: Convert to fraction form
    13,886.49/20,803.56 = 6,858.27/x
  3. Step 3: Cross multiply
    13,886.49x = 20,803.56 × 6,858.27
  4. Step 4: Simplify right side
    13,886.49x = 142,676,431.44
  5. Step 5: Solve for x
    x = 142,676,431.44/13,886.49
  6. Step 6: Final answer
    x = 10,274.48

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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.