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Finding the Fourth Proportional to 20,157.68, 27,810.96 and 12,196.88

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Solution

The fourth proportional to 20,157.68, 27,810.96 and 12,196.88 is: 16,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.68 : 27,810.96 = 12,196.88 : x
  2. Step 2: Convert to fraction form
    20,157.68/27,810.96 = 12,196.88/x
  3. Step 3: Cross multiply
    20,157.68x = 27,810.96 × 12,196.88
  4. Step 4: Simplify right side
    20,157.68x = 339,206,941.80
  5. Step 5: Solve for x
    x = 339,206,941.80/20,157.68
  6. Step 6: Final answer
    x = 16,827.68

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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.