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Finding the Fourth Proportional to 27,076.40, 40,614.78 and 17,724.27

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Solution

The fourth proportional to 27,076.40, 40,614.78 and 17,724.27 is: 26,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,076.40 : 40,614.78 = 17,724.27 : x
  2. Step 2: Convert to fraction form
    27,076.40/40,614.78 = 17,724.27/x
  3. Step 3: Cross multiply
    27,076.40x = 40,614.78 × 17,724.27
  4. Step 4: Simplify right side
    27,076.40x = 719,867,238.09
  5. Step 5: Solve for x
    x = 719,867,238.09/27,076.40
  6. Step 6: Final answer
    x = 26,586.52

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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.