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Finding the Fourth Proportional to 21,785.96, 30,065.23 and 12,226.44

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Solution

The fourth proportional to 21,785.96, 30,065.23 and 12,226.44 is: 16,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.96 : 30,065.23 = 12,226.44 : x
  2. Step 2: Convert to fraction form
    21,785.96/30,065.23 = 12,226.44/x
  3. Step 3: Cross multiply
    21,785.96x = 30,065.23 × 12,226.44
  4. Step 4: Simplify right side
    21,785.96x = 367,590,621.44
  5. Step 5: Solve for x
    x = 367,590,621.44/21,785.96
  6. Step 6: Final answer
    x = 16,872.82

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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.