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Finding the Fourth Proportional to 13,744.34, 20,640.75 and 10,235.30

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Solution

The fourth proportional to 13,744.34, 20,640.75 and 10,235.30 is: 15,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.34 : 20,640.75 = 10,235.30 : x
  2. Step 2: Convert to fraction form
    13,744.34/20,640.75 = 10,235.30/x
  3. Step 3: Cross multiply
    13,744.34x = 20,640.75 × 10,235.30
  4. Step 4: Simplify right side
    13,744.34x = 211,264,268.48
  5. Step 5: Solve for x
    x = 211,264,268.48/13,744.34
  6. Step 6: Final answer
    x = 15,371.00

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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.