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Finding the Fourth Proportional to 13,170.40, 18,174.60 and 7,201.86

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Solution

The fourth proportional to 13,170.40, 18,174.60 and 7,201.86 is: 9,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.40 : 18,174.60 = 7,201.86 : x
  2. Step 2: Convert to fraction form
    13,170.40/18,174.60 = 7,201.86/x
  3. Step 3: Cross multiply
    13,170.40x = 18,174.60 × 7,201.86
  4. Step 4: Simplify right side
    13,170.40x = 130,890,924.76
  5. Step 5: Solve for x
    x = 130,890,924.76/13,170.40
  6. Step 6: Final answer
    x = 9,938.26

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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.