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Finding the Fourth Proportional to 20,152.83, 27,813.16 and 12,194.88

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Solution

The fourth proportional to 20,152.83, 27,813.16 and 12,194.88 is: 16,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.83 : 27,813.16 = 12,194.88 : x
  2. Step 2: Convert to fraction form
    20,152.83/27,813.16 = 12,194.88/x
  3. Step 3: Cross multiply
    20,152.83x = 27,813.16 × 12,194.88
  4. Step 4: Simplify right side
    20,152.83x = 339,178,148.62
  5. Step 5: Solve for x
    x = 339,178,148.62/20,152.83
  6. Step 6: Final answer
    x = 16,830.30

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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.