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Finding the Fourth Proportional to 12,226.33, 18,340.28 and 3,461.93

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Solution

The fourth proportional to 12,226.33, 18,340.28 and 3,461.93 is: 5,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.33 : 18,340.28 = 3,461.93 : x
  2. Step 2: Convert to fraction form
    12,226.33/18,340.28 = 3,461.93/x
  3. Step 3: Cross multiply
    12,226.33x = 18,340.28 × 3,461.93
  4. Step 4: Simplify right side
    12,226.33x = 63,492,765.54
  5. Step 5: Solve for x
    x = 63,492,765.54/12,226.33
  6. Step 6: Final answer
    x = 5,193.12

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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.