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Finding the Fourth Proportional to 18,046.64, 27,063.20 and 6,197.04

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Solution

The fourth proportional to 18,046.64, 27,063.20 and 6,197.04 is: 9,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046.64 : 27,063.20 = 6,197.04 : x
  2. Step 2: Convert to fraction form
    18,046.64/27,063.20 = 6,197.04/x
  3. Step 3: Cross multiply
    18,046.64x = 27,063.20 × 6,197.04
  4. Step 4: Simplify right side
    18,046.64x = 167,711,701.94
  5. Step 5: Solve for x
    x = 167,711,701.94/18,046.64
  6. Step 6: Final answer
    x = 9,293.24

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Why These Related Problems?

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