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Finding the Fourth Proportional to 20,133, 27,784.86 and 11,634.36

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Solution

The fourth proportional to 20,133, 27,784.86 and 11,634.36 is: 16,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133 : 27,784.86 = 11,634.36 : x
  2. Step 2: Convert to fraction form
    20,133/27,784.86 = 11,634.36/x
  3. Step 3: Cross multiply
    20,133x = 27,784.86 × 11,634.36
  4. Step 4: Simplify right side
    20,133x = 323,259,063.79
  5. Step 5: Solve for x
    x = 323,259,063.79/20,133
  6. Step 6: Final answer
    x = 16,056.18

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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.