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Finding the Fourth Proportional to 20,056.96, 27,685.88 and 11,673.46

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Solution

The fourth proportional to 20,056.96, 27,685.88 and 11,673.46 is: 16,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.96 : 27,685.88 = 11,673.46 : x
  2. Step 2: Convert to fraction form
    20,056.96/27,685.88 = 11,673.46/x
  3. Step 3: Cross multiply
    20,056.96x = 27,685.88 × 11,673.46
  4. Step 4: Simplify right side
    20,056.96x = 323,189,954.38
  5. Step 5: Solve for x
    x = 323,189,954.38/20,056.96
  6. Step 6: Final answer
    x = 16,113.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.