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Finding the Fourth Proportional to 18,906.72, 26,091.34 and 10,409.68

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Solution

The fourth proportional to 18,906.72, 26,091.34 and 10,409.68 is: 14,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906.72 : 26,091.34 = 10,409.68 : x
  2. Step 2: Convert to fraction form
    18,906.72/26,091.34 = 10,409.68/x
  3. Step 3: Cross multiply
    18,906.72x = 26,091.34 × 10,409.68
  4. Step 4: Simplify right side
    18,906.72x = 271,602,500.17
  5. Step 5: Solve for x
    x = 271,602,500.17/18,906.72
  6. Step 6: Final answer
    x = 14,365.39

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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.