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Finding the Fourth Proportional to 14,165, 19,552.56 and 8,576

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Solution

The fourth proportional to 14,165, 19,552.56 and 8,576 is: 11,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165 : 19,552.56 = 8,576 : x
  2. Step 2: Convert to fraction form
    14,165/19,552.56 = 8,576/x
  3. Step 3: Cross multiply
    14,165x = 19,552.56 × 8,576
  4. Step 4: Simplify right side
    14,165x = 167,682,754.56
  5. Step 5: Solve for x
    x = 167,682,754.56/14,165
  6. Step 6: Final answer
    x = 11,837.82

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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.