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Finding the Fourth Proportional to 20,169.81, 30,245.46 and 11,853.74

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Solution

The fourth proportional to 20,169.81, 30,245.46 and 11,853.74 is: 17,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169.81 : 30,245.46 = 11,853.74 : x
  2. Step 2: Convert to fraction form
    20,169.81/30,245.46 = 11,853.74/x
  3. Step 3: Cross multiply
    20,169.81x = 30,245.46 × 11,853.74
  4. Step 4: Simplify right side
    20,169.81x = 358,521,819.02
  5. Step 5: Solve for x
    x = 358,521,819.02/20,169.81
  6. Step 6: Final answer
    x = 17,775.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.