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Finding the Fourth Proportional to 13,073.78, 18,042.27 and 7,105.90

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Solution

The fourth proportional to 13,073.78, 18,042.27 and 7,105.90 is: 9,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.78 : 18,042.27 = 7,105.90 : x
  2. Step 2: Convert to fraction form
    13,073.78/18,042.27 = 7,105.90/x
  3. Step 3: Cross multiply
    13,073.78x = 18,042.27 × 7,105.90
  4. Step 4: Simplify right side
    13,073.78x = 128,206,566.39
  5. Step 5: Solve for x
    x = 128,206,566.39/13,073.78
  6. Step 6: Final answer
    x = 9,806.39

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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.