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Finding the Fourth Proportional to 13,170.12, 18,174.49 and 7,201.72

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Solution

The fourth proportional to 13,170.12, 18,174.49 and 7,201.72 is: 9,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.12 : 18,174.49 = 7,201.72 : x
  2. Step 2: Convert to fraction form
    13,170.12/18,174.49 = 7,201.72/x
  3. Step 3: Cross multiply
    13,170.12x = 18,174.49 × 7,201.72
  4. Step 4: Simplify right side
    13,170.12x = 130,887,588.12
  5. Step 5: Solve for x
    x = 130,887,588.12/13,170.12
  6. Step 6: Final answer
    x = 9,938.22

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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.