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Finding the Fourth Proportional to 12,667.89, 17,476.10 and 7,629.14

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Solution

The fourth proportional to 12,667.89, 17,476.10 and 7,629.14 is: 10,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.89 : 17,476.10 = 7,629.14 : x
  2. Step 2: Convert to fraction form
    12,667.89/17,476.10 = 7,629.14/x
  3. Step 3: Cross multiply
    12,667.89x = 17,476.10 × 7,629.14
  4. Step 4: Simplify right side
    12,667.89x = 133,327,592.32
  5. Step 5: Solve for x
    x = 133,327,592.32/12,667.89
  6. Step 6: Final answer
    x = 10,524.84

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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.