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Finding the Fourth Proportional to 13,954.90, 19,257.68 and 7,581.44

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Solution

The fourth proportional to 13,954.90, 19,257.68 and 7,581.44 is: 10,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.90 : 19,257.68 = 7,581.44 : x
  2. Step 2: Convert to fraction form
    13,954.90/19,257.68 = 7,581.44/x
  3. Step 3: Cross multiply
    13,954.90x = 19,257.68 × 7,581.44
  4. Step 4: Simplify right side
    13,954.90x = 146,000,811.26
  5. Step 5: Solve for x
    x = 146,000,811.26/13,954.90
  6. Step 6: Final answer
    x = 10,462.34

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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.