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Finding the Fourth Proportional to 20,133.75, 27,785.50 and 11,181.29

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Solution

The fourth proportional to 20,133.75, 27,785.50 and 11,181.29 is: 15,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.75 : 27,785.50 = 11,181.29 : x
  2. Step 2: Convert to fraction form
    20,133.75/27,785.50 = 11,181.29/x
  3. Step 3: Cross multiply
    20,133.75x = 27,785.50 × 11,181.29
  4. Step 4: Simplify right side
    20,133.75x = 310,677,733.30
  5. Step 5: Solve for x
    x = 310,677,733.30/20,133.75
  6. Step 6: Final answer
    x = 15,430.69

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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.