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Finding the Fourth Proportional to 20,601.76, 30,858.80 and 11,814.88

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Solution

The fourth proportional to 20,601.76, 30,858.80 and 11,814.88 is: 17,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601.76 : 30,858.80 = 11,814.88 : x
  2. Step 2: Convert to fraction form
    20,601.76/30,858.80 = 11,814.88/x
  3. Step 3: Cross multiply
    20,601.76x = 30,858.80 × 11,814.88
  4. Step 4: Simplify right side
    20,601.76x = 364,593,018.94
  5. Step 5: Solve for x
    x = 364,593,018.94/20,601.76
  6. Step 6: Final answer
    x = 17,697.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.