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Finding the Fourth Proportional to 13,734.96, 18,954.36 and 7,447.33

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Solution

The fourth proportional to 13,734.96, 18,954.36 and 7,447.33 is: 10,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.96 : 18,954.36 = 7,447.33 : x
  2. Step 2: Convert to fraction form
    13,734.96/18,954.36 = 7,447.33/x
  3. Step 3: Cross multiply
    13,734.96x = 18,954.36 × 7,447.33
  4. Step 4: Simplify right side
    13,734.96x = 141,159,400.76
  5. Step 5: Solve for x
    x = 141,159,400.76/13,734.96
  6. Step 6: Final answer
    x = 10,277.38

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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.