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Finding the Fourth Proportional to 27,996.84, 38,612.70 and 20,434.68

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Solution

The fourth proportional to 27,996.84, 38,612.70 and 20,434.68 is: 28,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.84 : 38,612.70 = 20,434.68 : x
  2. Step 2: Convert to fraction form
    27,996.84/38,612.70 = 20,434.68/x
  3. Step 3: Cross multiply
    27,996.84x = 38,612.70 × 20,434.68
  4. Step 4: Simplify right side
    27,996.84x = 789,038,168.44
  5. Step 5: Solve for x
    x = 789,038,168.44/27,996.84
  6. Step 6: Final answer
    x = 28,183.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.