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Finding the Fourth Proportional to 20,182.96, 27,852.62 and 11,230.84

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Solution

The fourth proportional to 20,182.96, 27,852.62 and 11,230.84 is: 15,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.96 : 27,852.62 = 11,230.84 : x
  2. Step 2: Convert to fraction form
    20,182.96/27,852.62 = 11,230.84/x
  3. Step 3: Cross multiply
    20,182.96x = 27,852.62 × 11,230.84
  4. Step 4: Simplify right side
    20,182.96x = 312,808,318.80
  5. Step 5: Solve for x
    x = 312,808,318.80/20,182.96
  6. Step 6: Final answer
    x = 15,498.63

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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.