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Finding the Fourth Proportional to 13,573.97, 18,730.81 and 7,604.37

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Solution

The fourth proportional to 13,573.97, 18,730.81 and 7,604.37 is: 10,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.97 : 18,730.81 = 7,604.37 : x
  2. Step 2: Convert to fraction form
    13,573.97/18,730.81 = 7,604.37/x
  3. Step 3: Cross multiply
    13,573.97x = 18,730.81 × 7,604.37
  4. Step 4: Simplify right side
    13,573.97x = 142,436,009.64
  5. Step 5: Solve for x
    x = 142,436,009.64/13,573.97
  6. Step 6: Final answer
    x = 10,493.32

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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.