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Finding the Fourth Proportional to 13,460.46, 20,193.89 and 4,226.46

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Solution

The fourth proportional to 13,460.46, 20,193.89 and 4,226.46 is: 6,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.46 : 20,193.89 = 4,226.46 : x
  2. Step 2: Convert to fraction form
    13,460.46/20,193.89 = 4,226.46/x
  3. Step 3: Cross multiply
    13,460.46x = 20,193.89 × 4,226.46
  4. Step 4: Simplify right side
    13,460.46x = 85,348,647.20
  5. Step 5: Solve for x
    x = 85,348,647.20/13,460.46
  6. Step 6: Final answer
    x = 6,340.69

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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.