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Finding the Fourth Proportional to 12,667.02, 17,476.22 and 8,196.42

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Solution

The fourth proportional to 12,667.02, 17,476.22 and 8,196.42 is: 11,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.02 : 17,476.22 = 8,196.42 : x
  2. Step 2: Convert to fraction form
    12,667.02/17,476.22 = 8,196.42/x
  3. Step 3: Cross multiply
    12,667.02x = 17,476.22 × 8,196.42
  4. Step 4: Simplify right side
    12,667.02x = 143,242,462.33
  5. Step 5: Solve for x
    x = 143,242,462.33/12,667.02
  6. Step 6: Final answer
    x = 11,308.30

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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.