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Finding the Fourth Proportional to 11,872.98, 17,829.72 and 9,896.58

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Solution

The fourth proportional to 11,872.98, 17,829.72 and 9,896.58 is: 14,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.98 : 17,829.72 = 9,896.58 : x
  2. Step 2: Convert to fraction form
    11,872.98/17,829.72 = 9,896.58/x
  3. Step 3: Cross multiply
    11,872.98x = 17,829.72 × 9,896.58
  4. Step 4: Simplify right side
    11,872.98x = 176,453,250.36
  5. Step 5: Solve for x
    x = 176,453,250.36/11,872.98
  6. Step 6: Final answer
    x = 14,861.75

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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.