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Finding the Fourth Proportional to 13,021.56, 17,952.84 and 8,297.64

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Solution

The fourth proportional to 13,021.56, 17,952.84 and 8,297.64 is: 11,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.56 : 17,952.84 = 8,297.64 : x
  2. Step 2: Convert to fraction form
    13,021.56/17,952.84 = 8,297.64/x
  3. Step 3: Cross multiply
    13,021.56x = 17,952.84 × 8,297.64
  4. Step 4: Simplify right side
    13,021.56x = 148,966,203.30
  5. Step 5: Solve for x
    x = 148,966,203.30/13,021.56
  6. Step 6: Final answer
    x = 11,439.97

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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.