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Finding the Fourth Proportional to 13,504, 18,636.42 and 7,535.80

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Solution

The fourth proportional to 13,504, 18,636.42 and 7,535.80 is: 10,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 18,636.42 = 7,535.80 : x
  2. Step 2: Convert to fraction form
    13,504/18,636.42 = 7,535.80/x
  3. Step 3: Cross multiply
    13,504x = 18,636.42 × 7,535.80
  4. Step 4: Simplify right side
    13,504x = 140,440,333.84
  5. Step 5: Solve for x
    x = 140,440,333.84/13,504
  6. Step 6: Final answer
    x = 10,399.91

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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.