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Finding the Fourth Proportional to 13,954.86, 19,257.39 and 7,667.10

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Solution

The fourth proportional to 13,954.86, 19,257.39 and 7,667.10 is: 10,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.86 : 19,257.39 = 7,667.10 : x
  2. Step 2: Convert to fraction form
    13,954.86/19,257.39 = 7,667.10/x
  3. Step 3: Cross multiply
    13,954.86x = 19,257.39 × 7,667.10
  4. Step 4: Simplify right side
    13,954.86x = 147,648,334.87
  5. Step 5: Solve for x
    x = 147,648,334.87/13,954.86
  6. Step 6: Final answer
    x = 10,580.42

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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.