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Finding the Fourth Proportional to 27,736, 38,274.96 and 16,406.08

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Solution

The fourth proportional to 27,736, 38,274.96 and 16,406.08 is: 22,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736 : 38,274.96 = 16,406.08 : x
  2. Step 2: Convert to fraction form
    27,736/38,274.96 = 16,406.08/x
  3. Step 3: Cross multiply
    27,736x = 38,274.96 × 16,406.08
  4. Step 4: Simplify right side
    27,736x = 627,942,055.76
  5. Step 5: Solve for x
    x = 627,942,055.76/27,736
  6. Step 6: Final answer
    x = 22,639.96

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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.