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Finding the Fourth Proportional to 13,954.52, 19,257.28 and 7,667.30

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Solution

The fourth proportional to 13,954.52, 19,257.28 and 7,667.30 is: 10,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.52 : 19,257.28 = 7,667.30 : x
  2. Step 2: Convert to fraction form
    13,954.52/19,257.28 = 7,667.30/x
  3. Step 3: Cross multiply
    13,954.52x = 19,257.28 × 7,667.30
  4. Step 4: Simplify right side
    13,954.52x = 147,651,342.94
  5. Step 5: Solve for x
    x = 147,651,342.94/13,954.52
  6. Step 6: Final answer
    x = 10,580.90

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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.