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Finding the Fourth Proportional to 13,059.56, 18,022.38 and 7,091.24

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Solution

The fourth proportional to 13,059.56, 18,022.38 and 7,091.24 is: 9,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.56 : 18,022.38 = 7,091.24 : x
  2. Step 2: Convert to fraction form
    13,059.56/18,022.38 = 7,091.24/x
  3. Step 3: Cross multiply
    13,059.56x = 18,022.38 × 7,091.24
  4. Step 4: Simplify right side
    13,059.56x = 127,801,021.95
  5. Step 5: Solve for x
    x = 127,801,021.95/13,059.56
  6. Step 6: Final answer
    x = 9,786.01

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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.