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Finding the Fourth Proportional to 13,171.40, 18,175.89 and 7,506.39

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Solution

The fourth proportional to 13,171.40, 18,175.89 and 7,506.39 is: 10,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.40 : 18,175.89 = 7,506.39 : x
  2. Step 2: Convert to fraction form
    13,171.40/18,175.89 = 7,506.39/x
  3. Step 3: Cross multiply
    13,171.40x = 18,175.89 × 7,506.39
  4. Step 4: Simplify right side
    13,171.40x = 136,435,318.94
  5. Step 5: Solve for x
    x = 136,435,318.94/13,171.40
  6. Step 6: Final answer
    x = 10,358.45

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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.