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Finding the Fourth Proportional to 27,629.78, 38,142.74 and 19,138.37

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Solution

The fourth proportional to 27,629.78, 38,142.74 and 19,138.37 is: 26,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,629.78 : 38,142.74 = 19,138.37 : x
  2. Step 2: Convert to fraction form
    27,629.78/38,142.74 = 19,138.37/x
  3. Step 3: Cross multiply
    27,629.78x = 38,142.74 × 19,138.37
  4. Step 4: Simplify right side
    27,629.78x = 729,989,870.60
  5. Step 5: Solve for x
    x = 729,989,870.60/27,629.78
  6. Step 6: Final answer
    x = 26,420.40

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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.