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Finding the Fourth Proportional to 13,170.53, 18,175.08 and 7,202.18

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Solution

The fourth proportional to 13,170.53, 18,175.08 and 7,202.18 is: 9,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.53 : 18,175.08 = 7,202.18 : x
  2. Step 2: Convert to fraction form
    13,170.53/18,175.08 = 7,202.18/x
  3. Step 3: Cross multiply
    13,170.53x = 18,175.08 × 7,202.18
  4. Step 4: Simplify right side
    13,170.53x = 130,900,243.11
  5. Step 5: Solve for x
    x = 130,900,243.11/13,170.53
  6. Step 6: Final answer
    x = 9,938.87

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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.