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Finding the Fourth Proportional to 20,157.08, 27,809.40 and 12,196.40

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Solution

The fourth proportional to 20,157.08, 27,809.40 and 12,196.40 is: 16,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.08 : 27,809.40 = 12,196.40 : x
  2. Step 2: Convert to fraction form
    20,157.08/27,809.40 = 12,196.40/x
  3. Step 3: Cross multiply
    20,157.08x = 27,809.40 × 12,196.40
  4. Step 4: Simplify right side
    20,157.08x = 339,174,566.16
  5. Step 5: Solve for x
    x = 339,174,566.16/20,157.08
  6. Step 6: Final answer
    x = 16,826.57

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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.