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Finding the Fourth Proportional to 20,157.33, 27,809.75 and 12,196.65

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Solution

The fourth proportional to 20,157.33, 27,809.75 and 12,196.65 is: 16,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.33 : 27,809.75 = 12,196.65 : x
  2. Step 2: Convert to fraction form
    20,157.33/27,809.75 = 12,196.65/x
  3. Step 3: Cross multiply
    20,157.33x = 27,809.75 × 12,196.65
  4. Step 4: Simplify right side
    20,157.33x = 339,185,726.35
  5. Step 5: Solve for x
    x = 339,185,726.35/20,157.33
  6. Step 6: Final answer
    x = 16,826.92

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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.