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Finding the Fourth Proportional to 27,668.49, 38,179.95 and 15,729.50

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Solution

The fourth proportional to 27,668.49, 38,179.95 and 15,729.50 is: 21,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.49 : 38,179.95 = 15,729.50 : x
  2. Step 2: Convert to fraction form
    27,668.49/38,179.95 = 15,729.50/x
  3. Step 3: Cross multiply
    27,668.49x = 38,179.95 × 15,729.50
  4. Step 4: Simplify right side
    27,668.49x = 600,551,523.53
  5. Step 5: Solve for x
    x = 600,551,523.53/27,668.49
  6. Step 6: Final answer
    x = 21,705.25

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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.