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Finding the Fourth Proportional to 20,208.16, 27,883.20 and 11,823.04

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Solution

The fourth proportional to 20,208.16, 27,883.20 and 11,823.04 is: 16,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.16 : 27,883.20 = 11,823.04 : x
  2. Step 2: Convert to fraction form
    20,208.16/27,883.20 = 11,823.04/x
  3. Step 3: Cross multiply
    20,208.16x = 27,883.20 × 11,823.04
  4. Step 4: Simplify right side
    20,208.16x = 329,664,188.93
  5. Step 5: Solve for x
    x = 329,664,188.93/20,208.16
  6. Step 6: Final answer
    x = 16,313.42

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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.