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Finding the Fourth Proportional to 13,965.73, 19,270.54 and 8,298.38

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Solution

The fourth proportional to 13,965.73, 19,270.54 and 8,298.38 is: 11,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.73 : 19,270.54 = 8,298.38 : x
  2. Step 2: Convert to fraction form
    13,965.73/19,270.54 = 8,298.38/x
  3. Step 3: Cross multiply
    13,965.73x = 19,270.54 × 8,298.38
  4. Step 4: Simplify right side
    13,965.73x = 159,914,263.73
  5. Step 5: Solve for x
    x = 159,914,263.73/13,965.73
  6. Step 6: Final answer
    x = 11,450.48

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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.