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Finding the Fourth Proportional to 20,207.68, 27,879.20 and 12,244.16

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Solution

The fourth proportional to 20,207.68, 27,879.20 and 12,244.16 is: 16,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.68 : 27,879.20 = 12,244.16 : x
  2. Step 2: Convert to fraction form
    20,207.68/27,879.20 = 12,244.16/x
  3. Step 3: Cross multiply
    20,207.68x = 27,879.20 × 12,244.16
  4. Step 4: Simplify right side
    20,207.68x = 341,357,385.47
  5. Step 5: Solve for x
    x = 341,357,385.47/20,207.68
  6. Step 6: Final answer
    x = 16,892.46

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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.