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Finding the Fourth Proportional to 27,311.12, 40,970.28 and 9,782.96

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Solution

The fourth proportional to 27,311.12, 40,970.28 and 9,782.96 is: 14,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.12 : 40,970.28 = 9,782.96 : x
  2. Step 2: Convert to fraction form
    27,311.12/40,970.28 = 9,782.96/x
  3. Step 3: Cross multiply
    27,311.12x = 40,970.28 × 9,782.96
  4. Step 4: Simplify right side
    27,311.12x = 400,810,610.43
  5. Step 5: Solve for x
    x = 400,810,610.43/27,311.12
  6. Step 6: Final answer
    x = 14,675.73

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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.