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Finding the Fourth Proportional to 27,780.70, 41,662.40 and 9,308.38

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Solution

The fourth proportional to 27,780.70, 41,662.40 and 9,308.38 is: 13,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.70 : 41,662.40 = 9,308.38 : x
  2. Step 2: Convert to fraction form
    27,780.70/41,662.40 = 9,308.38/x
  3. Step 3: Cross multiply
    27,780.70x = 41,662.40 × 9,308.38
  4. Step 4: Simplify right side
    27,780.70x = 387,809,450.91
  5. Step 5: Solve for x
    x = 387,809,450.91/27,780.70
  6. Step 6: Final answer
    x = 13,959.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.