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Finding the Fourth Proportional to 12,461.40, 17,196.94 and 6,796.18

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Solution

The fourth proportional to 12,461.40, 17,196.94 and 6,796.18 is: 9,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.40 : 17,196.94 = 6,796.18 : x
  2. Step 2: Convert to fraction form
    12,461.40/17,196.94 = 6,796.18/x
  3. Step 3: Cross multiply
    12,461.40x = 17,196.94 × 6,796.18
  4. Step 4: Simplify right side
    12,461.40x = 116,873,499.69
  5. Step 5: Solve for x
    x = 116,873,499.69/12,461.40
  6. Step 6: Final answer
    x = 9,378.84

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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.