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Finding the Fourth Proportional to 13,170.10, 18,174.74 and 7,201.78

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Solution

The fourth proportional to 13,170.10, 18,174.74 and 7,201.78 is: 9,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.10 : 18,174.74 = 7,201.78 : x
  2. Step 2: Convert to fraction form
    13,170.10/18,174.74 = 7,201.78/x
  3. Step 3: Cross multiply
    13,170.10x = 18,174.74 × 7,201.78
  4. Step 4: Simplify right side
    13,170.10x = 130,890,479.04
  5. Step 5: Solve for x
    x = 130,890,479.04/13,170.10
  6. Step 6: Final answer
    x = 9,938.46

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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.