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Finding the Fourth Proportional to 12,477.75, 17,213.31 and 8,445.98

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Solution

The fourth proportional to 12,477.75, 17,213.31 and 8,445.98 is: 11,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.75 : 17,213.31 = 8,445.98 : x
  2. Step 2: Convert to fraction form
    12,477.75/17,213.31 = 8,445.98/x
  3. Step 3: Cross multiply
    12,477.75x = 17,213.31 × 8,445.98
  4. Step 4: Simplify right side
    12,477.75x = 145,383,185.93
  5. Step 5: Solve for x
    x = 145,383,185.93/12,477.75
  6. Step 6: Final answer
    x = 11,651.39

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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.