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Finding the Fourth Proportional to 13,751.40, 20,626.98 and 4,983

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Solution

The fourth proportional to 13,751.40, 20,626.98 and 4,983 is: 7,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.40 : 20,626.98 = 4,983 : x
  2. Step 2: Convert to fraction form
    13,751.40/20,626.98 = 4,983/x
  3. Step 3: Cross multiply
    13,751.40x = 20,626.98 × 4,983
  4. Step 4: Simplify right side
    13,751.40x = 102,784,241.34
  5. Step 5: Solve for x
    x = 102,784,241.34/13,751.40
  6. Step 6: Final answer
    x = 7,474.46

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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.