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Finding the Fourth Proportional to 19,627.28, 27,076.64 and 11,665

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Solution

The fourth proportional to 19,627.28, 27,076.64 and 11,665 is: 16,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,627.28 : 27,076.64 = 11,665 : x
  2. Step 2: Convert to fraction form
    19,627.28/27,076.64 = 11,665/x
  3. Step 3: Cross multiply
    19,627.28x = 27,076.64 × 11,665
  4. Step 4: Simplify right side
    19,627.28x = 315,849,005.60
  5. Step 5: Solve for x
    x = 315,849,005.60/19,627.28
  6. Step 6: Final answer
    x = 16,092.35

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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.