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Finding the Fourth Proportional to 22,298.28, 30,771 and 12,226.20

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Solution

The fourth proportional to 22,298.28, 30,771 and 12,226.20 is: 16,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.28 : 30,771 = 12,226.20 : x
  2. Step 2: Convert to fraction form
    22,298.28/30,771 = 12,226.20/x
  3. Step 3: Cross multiply
    22,298.28x = 30,771 × 12,226.20
  4. Step 4: Simplify right side
    22,298.28x = 376,212,400.20
  5. Step 5: Solve for x
    x = 376,212,400.20/22,298.28
  6. Step 6: Final answer
    x = 16,871.81

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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.