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Finding the Fourth Proportional to 27,770.34, 38,323.89 and 15,195.09

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Solution

The fourth proportional to 27,770.34, 38,323.89 and 15,195.09 is: 20,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.34 : 38,323.89 = 15,195.09 : x
  2. Step 2: Convert to fraction form
    27,770.34/38,323.89 = 15,195.09/x
  3. Step 3: Cross multiply
    27,770.34x = 38,323.89 × 15,195.09
  4. Step 4: Simplify right side
    27,770.34x = 582,334,957.70
  5. Step 5: Solve for x
    x = 582,334,957.70/27,770.34
  6. Step 6: Final answer
    x = 20,969.67

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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.