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Finding the Fourth Proportional to 13,954.77, 19,257.42 and 7,667.13

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Solution

The fourth proportional to 13,954.77, 19,257.42 and 7,667.13 is: 10,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.77 : 19,257.42 = 7,667.13 : x
  2. Step 2: Convert to fraction form
    13,954.77/19,257.42 = 7,667.13/x
  3. Step 3: Cross multiply
    13,954.77x = 19,257.42 × 7,667.13
  4. Step 4: Simplify right side
    13,954.77x = 147,649,142.60
  5. Step 5: Solve for x
    x = 147,649,142.60/13,954.77
  6. Step 6: Final answer
    x = 10,580.55

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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.