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Finding the Fourth Proportional to 13,954.89, 19,257.72 and 7,667.25

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Solution

The fourth proportional to 13,954.89, 19,257.72 and 7,667.25 is: 10,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.89 : 19,257.72 = 7,667.25 : x
  2. Step 2: Convert to fraction form
    13,954.89/19,257.72 = 7,667.25/x
  3. Step 3: Cross multiply
    13,954.89x = 19,257.72 × 7,667.25
  4. Step 4: Simplify right side
    13,954.89x = 147,653,753.67
  5. Step 5: Solve for x
    x = 147,653,753.67/13,954.89
  6. Step 6: Final answer
    x = 10,580.79

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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.