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Finding the Fourth Proportional to 13,171.62, 18,176.10 and 7,202.10

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Solution

The fourth proportional to 13,171.62, 18,176.10 and 7,202.10 is: 9,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.62 : 18,176.10 = 7,202.10 : x
  2. Step 2: Convert to fraction form
    13,171.62/18,176.10 = 7,202.10/x
  3. Step 3: Cross multiply
    13,171.62x = 18,176.10 × 7,202.10
  4. Step 4: Simplify right side
    13,171.62x = 130,906,089.81
  5. Step 5: Solve for x
    x = 130,906,089.81/13,171.62
  6. Step 6: Final answer
    x = 9,938.50

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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.