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Finding the Fourth Proportional to 12,165.26, 16,795.22 and 7,980.80

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Solution

The fourth proportional to 12,165.26, 16,795.22 and 7,980.80 is: 11,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.26 : 16,795.22 = 7,980.80 : x
  2. Step 2: Convert to fraction form
    12,165.26/16,795.22 = 7,980.80/x
  3. Step 3: Cross multiply
    12,165.26x = 16,795.22 × 7,980.80
  4. Step 4: Simplify right side
    12,165.26x = 134,039,167.90
  5. Step 5: Solve for x
    x = 134,039,167.90/12,165.26
  6. Step 6: Final answer
    x = 11,018.20

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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.