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Finding the Fourth Proportional to 16,085.76, 22,198.34 and 9,012.22

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Solution

The fourth proportional to 16,085.76, 22,198.34 and 9,012.22 is: 12,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.76 : 22,198.34 = 9,012.22 : x
  2. Step 2: Convert to fraction form
    16,085.76/22,198.34 = 9,012.22/x
  3. Step 3: Cross multiply
    16,085.76x = 22,198.34 × 9,012.22
  4. Step 4: Simplify right side
    16,085.76x = 200,056,323.71
  5. Step 5: Solve for x
    x = 200,056,323.71/16,085.76
  6. Step 6: Final answer
    x = 12,436.86

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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.