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Finding the Fourth Proportional to 12,226.95, 18,341.96 and 3,461.85

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Solution

The fourth proportional to 12,226.95, 18,341.96 and 3,461.85 is: 5,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.95 : 18,341.96 = 3,461.85 : x
  2. Step 2: Convert to fraction form
    12,226.95/18,341.96 = 3,461.85/x
  3. Step 3: Cross multiply
    12,226.95x = 18,341.96 × 3,461.85
  4. Step 4: Simplify right side
    12,226.95x = 63,497,096.92
  5. Step 5: Solve for x
    x = 63,497,096.92/12,226.95
  6. Step 6: Final answer
    x = 5,193.21

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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.