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Finding the Fourth Proportional to 13,954.67, 19,257.11 and 7,985.96

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Solution

The fourth proportional to 13,954.67, 19,257.11 and 7,985.96 is: 11,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.67 : 19,257.11 = 7,985.96 : x
  2. Step 2: Convert to fraction form
    13,954.67/19,257.11 = 7,985.96/x
  3. Step 3: Cross multiply
    13,954.67x = 19,257.11 × 7,985.96
  4. Step 4: Simplify right side
    13,954.67x = 153,786,476.12
  5. Step 5: Solve for x
    x = 153,786,476.12/13,954.67
  6. Step 6: Final answer
    x = 11,020.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.