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Finding the Fourth Proportional to 13,537.24, 18,675.78 and 8,231.20

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Solution

The fourth proportional to 13,537.24, 18,675.78 and 8,231.20 is: 11,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.24 : 18,675.78 = 8,231.20 : x
  2. Step 2: Convert to fraction form
    13,537.24/18,675.78 = 8,231.20/x
  3. Step 3: Cross multiply
    13,537.24x = 18,675.78 × 8,231.20
  4. Step 4: Simplify right side
    13,537.24x = 153,724,080.34
  5. Step 5: Solve for x
    x = 153,724,080.34/13,537.24
  6. Step 6: Final answer
    x = 11,355.64

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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.