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Finding the Fourth Proportional to 16,085.92, 22,198.44 and 10,422.76

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Solution

The fourth proportional to 16,085.92, 22,198.44 and 10,422.76 is: 14,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.92 : 22,198.44 = 10,422.76 : x
  2. Step 2: Convert to fraction form
    16,085.92/22,198.44 = 10,422.76/x
  3. Step 3: Cross multiply
    16,085.92x = 22,198.44 × 10,422.76
  4. Step 4: Simplify right side
    16,085.92x = 231,369,012.49
  5. Step 5: Solve for x
    x = 231,369,012.49/16,085.92
  6. Step 6: Final answer
    x = 14,383.32

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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.