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Finding the Fourth Proportional to 20,289, 27,999.18 and 11,905.32

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Solution

The fourth proportional to 20,289, 27,999.18 and 11,905.32 is: 16,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289 : 27,999.18 = 11,905.32 : x
  2. Step 2: Convert to fraction form
    20,289/27,999.18 = 11,905.32/x
  3. Step 3: Cross multiply
    20,289x = 27,999.18 × 11,905.32
  4. Step 4: Simplify right side
    20,289x = 333,339,197.64
  5. Step 5: Solve for x
    x = 333,339,197.64/20,289
  6. Step 6: Final answer
    x = 16,429.55

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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.