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Finding the Fourth Proportional to 27,311.68, 40,966.08 and 13,456

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Solution

The fourth proportional to 27,311.68, 40,966.08 and 13,456 is: 20,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.68 : 40,966.08 = 13,456 : x
  2. Step 2: Convert to fraction form
    27,311.68/40,966.08 = 13,456/x
  3. Step 3: Cross multiply
    27,311.68x = 40,966.08 × 13,456
  4. Step 4: Simplify right side
    27,311.68x = 551,239,572.48
  5. Step 5: Solve for x
    x = 551,239,572.48/27,311.68
  6. Step 6: Final answer
    x = 20,183.29

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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.