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Finding the Fourth Proportional to 16,085.64, 22,205.94 and 10,120.20

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Solution

The fourth proportional to 16,085.64, 22,205.94 and 10,120.20 is: 13,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.64 : 22,205.94 = 10,120.20 : x
  2. Step 2: Convert to fraction form
    16,085.64/22,205.94 = 10,120.20/x
  3. Step 3: Cross multiply
    16,085.64x = 22,205.94 × 10,120.20
  4. Step 4: Simplify right side
    16,085.64x = 224,728,553.99
  5. Step 5: Solve for x
    x = 224,728,553.99/16,085.64
  6. Step 6: Final answer
    x = 13,970.76

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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.