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Finding the Fourth Proportional to 13,986, 20,980.62 and 4,627.26

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Solution

The fourth proportional to 13,986, 20,980.62 and 4,627.26 is: 6,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 20,980.62 = 4,627.26 : x
  2. Step 2: Convert to fraction form
    13,986/20,980.62 = 4,627.26/x
  3. Step 3: Cross multiply
    13,986x = 20,980.62 × 4,627.26
  4. Step 4: Simplify right side
    13,986x = 97,082,783.70
  5. Step 5: Solve for x
    x = 97,082,783.70/13,986
  6. Step 6: Final answer
    x = 6,941.43

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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.