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Finding the Fourth Proportional to 27,313.34, 40,974.32 and 9,782.78

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Solution

The fourth proportional to 27,313.34, 40,974.32 and 9,782.78 is: 14,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.34 : 40,974.32 = 9,782.78 : x
  2. Step 2: Convert to fraction form
    27,313.34/40,974.32 = 9,782.78/x
  3. Step 3: Cross multiply
    27,313.34x = 40,974.32 × 9,782.78
  4. Step 4: Simplify right side
    27,313.34x = 400,842,758.21
  5. Step 5: Solve for x
    x = 400,842,758.21/27,313.34
  6. Step 6: Final answer
    x = 14,675.71

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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.