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Finding the Fourth Proportional to 27,708.54, 38,230.75 and 16,949.50

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Solution

The fourth proportional to 27,708.54, 38,230.75 and 16,949.50 is: 23,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.54 : 38,230.75 = 16,949.50 : x
  2. Step 2: Convert to fraction form
    27,708.54/38,230.75 = 16,949.50/x
  3. Step 3: Cross multiply
    27,708.54x = 38,230.75 × 16,949.50
  4. Step 4: Simplify right side
    27,708.54x = 647,991,905.97
  5. Step 5: Solve for x
    x = 647,991,905.97/27,708.54
  6. Step 6: Final answer
    x = 23,386.00

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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.