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Finding the Fourth Proportional to 22,298.25, 30,770.74 and 12,226.45

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Solution

The fourth proportional to 22,298.25, 30,770.74 and 12,226.45 is: 16,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.25 : 30,770.74 = 12,226.45 : x
  2. Step 2: Convert to fraction form
    22,298.25/30,770.74 = 12,226.45/x
  3. Step 3: Cross multiply
    22,298.25x = 30,770.74 × 12,226.45
  4. Step 4: Simplify right side
    22,298.25x = 376,216,914.07
  5. Step 5: Solve for x
    x = 376,216,914.07/22,298.25
  6. Step 6: Final answer
    x = 16,872.04

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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.