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Finding the Fourth Proportional to 12,846.28, 17,727.30 and 7,181

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Solution

The fourth proportional to 12,846.28, 17,727.30 and 7,181 is: 9,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.28 : 17,727.30 = 7,181 : x
  2. Step 2: Convert to fraction form
    12,846.28/17,727.30 = 7,181/x
  3. Step 3: Cross multiply
    12,846.28x = 17,727.30 × 7,181
  4. Step 4: Simplify right side
    12,846.28x = 127,299,741.30
  5. Step 5: Solve for x
    x = 127,299,741.30/12,846.28
  6. Step 6: Final answer
    x = 9,909.46

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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.