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Finding the Fourth Proportional to 12,245.52, 16,897.56 and 6,940.80

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Solution

The fourth proportional to 12,245.52, 16,897.56 and 6,940.80 is: 9,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.52 : 16,897.56 = 6,940.80 : x
  2. Step 2: Convert to fraction form
    12,245.52/16,897.56 = 6,940.80/x
  3. Step 3: Cross multiply
    12,245.52x = 16,897.56 × 6,940.80
  4. Step 4: Simplify right side
    12,245.52x = 117,282,584.45
  5. Step 5: Solve for x
    x = 117,282,584.45/12,245.52
  6. Step 6: Final answer
    x = 9,577.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.