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Finding the Fourth Proportional to 20,853.12, 28,767.68 and 12,016

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Solution

The fourth proportional to 20,853.12, 28,767.68 and 12,016 is: 16,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.12 : 28,767.68 = 12,016 : x
  2. Step 2: Convert to fraction form
    20,853.12/28,767.68 = 12,016/x
  3. Step 3: Cross multiply
    20,853.12x = 28,767.68 × 12,016
  4. Step 4: Simplify right side
    20,853.12x = 345,672,442.88
  5. Step 5: Solve for x
    x = 345,672,442.88/20,853.12
  6. Step 6: Final answer
    x = 16,576.53

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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.