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Finding the Fourth Proportional to 13,502.75, 18,635.68 and 9,738.37

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Solution

The fourth proportional to 13,502.75, 18,635.68 and 9,738.37 is: 13,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.75 : 18,635.68 = 9,738.37 : x
  2. Step 2: Convert to fraction form
    13,502.75/18,635.68 = 9,738.37/x
  3. Step 3: Cross multiply
    13,502.75x = 18,635.68 × 9,738.37
  4. Step 4: Simplify right side
    13,502.75x = 181,481,098.35
  5. Step 5: Solve for x
    x = 181,481,098.35/13,502.75
  6. Step 6: Final answer
    x = 13,440.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.