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Finding the Fourth Proportional to 20,134.56, 27,786 and 11,182.64

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Solution

The fourth proportional to 20,134.56, 27,786 and 11,182.64 is: 15,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.56 : 27,786 = 11,182.64 : x
  2. Step 2: Convert to fraction form
    20,134.56/27,786 = 11,182.64/x
  3. Step 3: Cross multiply
    20,134.56x = 27,786 × 11,182.64
  4. Step 4: Simplify right side
    20,134.56x = 310,720,835.04
  5. Step 5: Solve for x
    x = 310,720,835.04/20,134.56
  6. Step 6: Final answer
    x = 15,432.21

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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.