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Finding the Fourth Proportional to 19,801.92, 27,316.30 and 12,245.84

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Solution

The fourth proportional to 19,801.92, 27,316.30 and 12,245.84 is: 16,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.92 : 27,316.30 = 12,245.84 : x
  2. Step 2: Convert to fraction form
    19,801.92/27,316.30 = 12,245.84/x
  3. Step 3: Cross multiply
    19,801.92x = 27,316.30 × 12,245.84
  4. Step 4: Simplify right side
    19,801.92x = 334,511,039.19
  5. Step 5: Solve for x
    x = 334,511,039.19/19,801.92
  6. Step 6: Final answer
    x = 16,892.86

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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.