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Finding the Fourth Proportional to 27,311.30, 40,980.33 and 9,782.48

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Solution

The fourth proportional to 27,311.30, 40,980.33 and 9,782.48 is: 14,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.30 : 40,980.33 = 9,782.48 : x
  2. Step 2: Convert to fraction form
    27,311.30/40,980.33 = 9,782.48/x
  3. Step 3: Cross multiply
    27,311.30x = 40,980.33 × 9,782.48
  4. Step 4: Simplify right side
    27,311.30x = 400,889,258.62
  5. Step 5: Solve for x
    x = 400,889,258.62/27,311.30
  6. Step 6: Final answer
    x = 14,678.51

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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.