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Finding the Fourth Proportional to 13,758.72, 20,638.04 and 4,993.60

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Solution

The fourth proportional to 13,758.72, 20,638.04 and 4,993.60 is: 7,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.72 : 20,638.04 = 4,993.60 : x
  2. Step 2: Convert to fraction form
    13,758.72/20,638.04 = 4,993.60/x
  3. Step 3: Cross multiply
    13,758.72x = 20,638.04 × 4,993.60
  4. Step 4: Simplify right side
    13,758.72x = 103,058,116.54
  5. Step 5: Solve for x
    x = 103,058,116.54/13,758.72
  6. Step 6: Final answer
    x = 7,490.39

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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.