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Finding the Fourth Proportional to 12,226.96, 18,341.14 and 3,461.14

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Solution

The fourth proportional to 12,226.96, 18,341.14 and 3,461.14 is: 5,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.96 : 18,341.14 = 3,461.14 : x
  2. Step 2: Convert to fraction form
    12,226.96/18,341.14 = 3,461.14/x
  3. Step 3: Cross multiply
    12,226.96x = 18,341.14 × 3,461.14
  4. Step 4: Simplify right side
    12,226.96x = 63,481,253.30
  5. Step 5: Solve for x
    x = 63,481,253.30/12,226.96
  6. Step 6: Final answer
    x = 5,191.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.