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Finding the Fourth Proportional to 20,200.14, 27,877.14 and 11,702.64

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Solution

The fourth proportional to 20,200.14, 27,877.14 and 11,702.64 is: 16,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.14 : 27,877.14 = 11,702.64 : x
  2. Step 2: Convert to fraction form
    20,200.14/27,877.14 = 11,702.64/x
  3. Step 3: Cross multiply
    20,200.14x = 27,877.14 × 11,702.64
  4. Step 4: Simplify right side
    20,200.14x = 326,236,133.65
  5. Step 5: Solve for x
    x = 326,236,133.65/20,200.14
  6. Step 6: Final answer
    x = 16,150.19

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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.