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Finding the Fourth Proportional to 12,642.96, 17,427.42 and 8,657.18

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Solution

The fourth proportional to 12,642.96, 17,427.42 and 8,657.18 is: 11,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.96 : 17,427.42 = 8,657.18 : x
  2. Step 2: Convert to fraction form
    12,642.96/17,427.42 = 8,657.18/x
  3. Step 3: Cross multiply
    12,642.96x = 17,427.42 × 8,657.18
  4. Step 4: Simplify right side
    12,642.96x = 150,872,311.88
  5. Step 5: Solve for x
    x = 150,872,311.88/12,642.96
  6. Step 6: Final answer
    x = 11,933.31

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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.