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Finding the Fourth Proportional to 20,094.68, 27,724.02 and 12,133.88

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Solution

The fourth proportional to 20,094.68, 27,724.02 and 12,133.88 is: 16,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.68 : 27,724.02 = 12,133.88 : x
  2. Step 2: Convert to fraction form
    20,094.68/27,724.02 = 12,133.88/x
  3. Step 3: Cross multiply
    20,094.68x = 27,724.02 × 12,133.88
  4. Step 4: Simplify right side
    20,094.68x = 336,399,931.80
  5. Step 5: Solve for x
    x = 336,399,931.80/20,094.68
  6. Step 6: Final answer
    x = 16,740.75

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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.