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Finding the Fourth Proportional to 12,157.25, 18,241.37 and 6,963.13

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Solution

The fourth proportional to 12,157.25, 18,241.37 and 6,963.13 is: 10,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.25 : 18,241.37 = 6,963.13 : x
  2. Step 2: Convert to fraction form
    12,157.25/18,241.37 = 6,963.13/x
  3. Step 3: Cross multiply
    12,157.25x = 18,241.37 × 6,963.13
  4. Step 4: Simplify right side
    12,157.25x = 127,017,030.69
  5. Step 5: Solve for x
    x = 127,017,030.69/12,157.25
  6. Step 6: Final answer
    x = 10,447.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.