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Finding the Fourth Proportional to 12,331.98, 17,027.82 and 8,085.96

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Solution

The fourth proportional to 12,331.98, 17,027.82 and 8,085.96 is: 11,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.98 : 17,027.82 = 8,085.96 : x
  2. Step 2: Convert to fraction form
    12,331.98/17,027.82 = 8,085.96/x
  3. Step 3: Cross multiply
    12,331.98x = 17,027.82 × 8,085.96
  4. Step 4: Simplify right side
    12,331.98x = 137,686,271.41
  5. Step 5: Solve for x
    x = 137,686,271.41/12,331.98
  6. Step 6: Final answer
    x = 11,164.98

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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.