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Finding the Fourth Proportional to 16,262.34, 24,394.20 and 7,932.44

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Solution

The fourth proportional to 16,262.34, 24,394.20 and 7,932.44 is: 11,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.34 : 24,394.20 = 7,932.44 : x
  2. Step 2: Convert to fraction form
    16,262.34/24,394.20 = 7,932.44/x
  3. Step 3: Cross multiply
    16,262.34x = 24,394.20 × 7,932.44
  4. Step 4: Simplify right side
    16,262.34x = 193,505,527.85
  5. Step 5: Solve for x
    x = 193,505,527.85/16,262.34
  6. Step 6: Final answer
    x = 11,899.00

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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.