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Finding the Fourth Proportional to 13,167, 19,760.87 and 5,776.56

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Solution

The fourth proportional to 13,167, 19,760.87 and 5,776.56 is: 8,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167 : 19,760.87 = 5,776.56 : x
  2. Step 2: Convert to fraction form
    13,167/19,760.87 = 5,776.56/x
  3. Step 3: Cross multiply
    13,167x = 19,760.87 × 5,776.56
  4. Step 4: Simplify right side
    13,167x = 114,149,865.65
  5. Step 5: Solve for x
    x = 114,149,865.65/13,167
  6. Step 6: Final answer
    x = 8,669.39

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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.