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Finding the Fourth Proportional to 20,076.17, 27,705.34 and 11,123.81

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Solution

The fourth proportional to 20,076.17, 27,705.34 and 11,123.81 is: 15,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.17 : 27,705.34 = 11,123.81 : x
  2. Step 2: Convert to fraction form
    20,076.17/27,705.34 = 11,123.81/x
  3. Step 3: Cross multiply
    20,076.17x = 27,705.34 × 11,123.81
  4. Step 4: Simplify right side
    20,076.17x = 308,188,938.15
  5. Step 5: Solve for x
    x = 308,188,938.15/20,076.17
  6. Step 6: Final answer
    x = 15,350.98

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Why These Related Problems?

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