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Finding the Fourth Proportional to 20,134.68, 27,785.88 and 11,182.20

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Solution

The fourth proportional to 20,134.68, 27,785.88 and 11,182.20 is: 15,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.68 : 27,785.88 = 11,182.20 : x
  2. Step 2: Convert to fraction form
    20,134.68/27,785.88 = 11,182.20/x
  3. Step 3: Cross multiply
    20,134.68x = 27,785.88 × 11,182.20
  4. Step 4: Simplify right side
    20,134.68x = 310,707,267.34
  5. Step 5: Solve for x
    x = 310,707,267.34/20,134.68
  6. Step 6: Final answer
    x = 15,431.45

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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.