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Finding the Fourth Proportional to 16,085.97, 22,198.62 and 9,012.44

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Solution

The fourth proportional to 16,085.97, 22,198.62 and 9,012.44 is: 12,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.97 : 22,198.62 = 9,012.44 : x
  2. Step 2: Convert to fraction form
    16,085.97/22,198.62 = 9,012.44/x
  3. Step 3: Cross multiply
    16,085.97x = 22,198.62 × 9,012.44
  4. Step 4: Simplify right side
    16,085.97x = 200,063,820.13
  5. Step 5: Solve for x
    x = 200,063,820.13/16,085.97
  6. Step 6: Final answer
    x = 12,437.16

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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.