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Finding the Fourth Proportional to 20,182.80, 27,852.18 and 11,231.16

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Solution

The fourth proportional to 20,182.80, 27,852.18 and 11,231.16 is: 15,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.80 : 27,852.18 = 11,231.16 : x
  2. Step 2: Convert to fraction form
    20,182.80/27,852.18 = 11,231.16/x
  3. Step 3: Cross multiply
    20,182.80x = 27,852.18 × 11,231.16
  4. Step 4: Simplify right side
    20,182.80x = 312,812,289.93
  5. Step 5: Solve for x
    x = 312,812,289.93/20,182.80
  6. Step 6: Final answer
    x = 15,498.95

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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.