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Finding the Fourth Proportional to 13,865.22, 20,785.41 and 5,094

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Solution

The fourth proportional to 13,865.22, 20,785.41 and 5,094 is: 7,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.22 : 20,785.41 = 5,094 : x
  2. Step 2: Convert to fraction form
    13,865.22/20,785.41 = 5,094/x
  3. Step 3: Cross multiply
    13,865.22x = 20,785.41 × 5,094
  4. Step 4: Simplify right side
    13,865.22x = 105,880,878.54
  5. Step 5: Solve for x
    x = 105,880,878.54/13,865.22
  6. Step 6: Final answer
    x = 7,636.44

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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.