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Finding the Fourth Proportional to 13,195.67, 18,210.23 and 7,227.23

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Solution

The fourth proportional to 13,195.67, 18,210.23 and 7,227.23 is: 9,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.67 : 18,210.23 = 7,227.23 : x
  2. Step 2: Convert to fraction form
    13,195.67/18,210.23 = 7,227.23/x
  3. Step 3: Cross multiply
    13,195.67x = 18,210.23 × 7,227.23
  4. Step 4: Simplify right side
    13,195.67x = 131,609,393.38
  5. Step 5: Solve for x
    x = 131,609,393.38/13,195.67
  6. Step 6: Final answer
    x = 9,973.68

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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.