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Finding the Fourth Proportional to 13,597.58, 18,708.46 and 11,022.38

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Solution

The fourth proportional to 13,597.58, 18,708.46 and 11,022.38 is: 15,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.58 : 18,708.46 = 11,022.38 : x
  2. Step 2: Convert to fraction form
    13,597.58/18,708.46 = 11,022.38/x
  3. Step 3: Cross multiply
    13,597.58x = 18,708.46 × 11,022.38
  4. Step 4: Simplify right side
    13,597.58x = 206,211,755.33
  5. Step 5: Solve for x
    x = 206,211,755.33/13,597.58
  6. Step 6: Final answer
    x = 15,165.33

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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.