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Finding the Fourth Proportional to 13,121.85, 18,107.59 and 7,153.38

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Solution

The fourth proportional to 13,121.85, 18,107.59 and 7,153.38 is: 9,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.85 : 18,107.59 = 7,153.38 : x
  2. Step 2: Convert to fraction form
    13,121.85/18,107.59 = 7,153.38/x
  3. Step 3: Cross multiply
    13,121.85x = 18,107.59 × 7,153.38
  4. Step 4: Simplify right side
    13,121.85x = 129,530,472.15
  5. Step 5: Solve for x
    x = 129,530,472.15/13,121.85
  6. Step 6: Final answer
    x = 9,871.36

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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.