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Finding the Fourth Proportional to 12,641.09, 17,441.21 and 8,165.03

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Solution

The fourth proportional to 12,641.09, 17,441.21 and 8,165.03 is: 11,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.09 : 17,441.21 = 8,165.03 : x
  2. Step 2: Convert to fraction form
    12,641.09/17,441.21 = 8,165.03/x
  3. Step 3: Cross multiply
    12,641.09x = 17,441.21 × 8,165.03
  4. Step 4: Simplify right side
    12,641.09x = 142,407,962.06
  5. Step 5: Solve for x
    x = 142,407,962.06/12,641.09
  6. Step 6: Final answer
    x = 11,265.48

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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.