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Finding the Fourth Proportional to 13,105.50, 19,661.58 and 3,871.50

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Solution

The fourth proportional to 13,105.50, 19,661.58 and 3,871.50 is: 5,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.50 : 19,661.58 = 3,871.50 : x
  2. Step 2: Convert to fraction form
    13,105.50/19,661.58 = 3,871.50/x
  3. Step 3: Cross multiply
    13,105.50x = 19,661.58 × 3,871.50
  4. Step 4: Simplify right side
    13,105.50x = 76,119,806.97
  5. Step 5: Solve for x
    x = 76,119,806.97/13,105.50
  6. Step 6: Final answer
    x = 5,808.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.