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Finding the Fourth Proportional to 13,193.43, 18,206.97 and 7,143.74

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Solution

The fourth proportional to 13,193.43, 18,206.97 and 7,143.74 is: 9,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.43 : 18,206.97 = 7,143.74 : x
  2. Step 2: Convert to fraction form
    13,193.43/18,206.97 = 7,143.74/x
  3. Step 3: Cross multiply
    13,193.43x = 18,206.97 × 7,143.74
  4. Step 4: Simplify right side
    13,193.43x = 130,065,859.87
  5. Step 5: Solve for x
    x = 130,065,859.87/13,193.43
  6. Step 6: Final answer
    x = 9,858.38

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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.