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Finding the Fourth Proportional to 11,932.80, 16,459.20 and 9,833.60

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Solution

The fourth proportional to 11,932.80, 16,459.20 and 9,833.60 is: 13,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.80 : 16,459.20 = 9,833.60 : x
  2. Step 2: Convert to fraction form
    11,932.80/16,459.20 = 9,833.60/x
  3. Step 3: Cross multiply
    11,932.80x = 16,459.20 × 9,833.60
  4. Step 4: Simplify right side
    11,932.80x = 161,853,189.12
  5. Step 5: Solve for x
    x = 161,853,189.12/11,932.80
  6. Step 6: Final answer
    x = 13,563.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.