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Finding the Fourth Proportional to 12,667.96, 17,457.42 and 8,935.48

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Solution

The fourth proportional to 12,667.96, 17,457.42 and 8,935.48 is: 12,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.96 : 17,457.42 = 8,935.48 : x
  2. Step 2: Convert to fraction form
    12,667.96/17,457.42 = 8,935.48/x
  3. Step 3: Cross multiply
    12,667.96x = 17,457.42 × 8,935.48
  4. Step 4: Simplify right side
    12,667.96x = 155,990,427.26
  5. Step 5: Solve for x
    x = 155,990,427.26/12,667.96
  6. Step 6: Final answer
    x = 12,313.78

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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.