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Finding the Fourth Proportional to 20,128, 27,775.42 and 11,174.84

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Solution

The fourth proportional to 20,128, 27,775.42 and 11,174.84 is: 15,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128 : 27,775.42 = 11,174.84 : x
  2. Step 2: Convert to fraction form
    20,128/27,775.42 = 11,174.84/x
  3. Step 3: Cross multiply
    20,128x = 27,775.42 × 11,174.84
  4. Step 4: Simplify right side
    20,128x = 310,385,874.43
  5. Step 5: Solve for x
    x = 310,385,874.43/20,128
  6. Step 6: Final answer
    x = 15,420.60

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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.