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Finding the Fourth Proportional to 21,469.46, 32,204.04 and 6,678.38

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Solution

The fourth proportional to 21,469.46, 32,204.04 and 6,678.38 is: 10,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.46 : 32,204.04 = 6,678.38 : x
  2. Step 2: Convert to fraction form
    21,469.46/32,204.04 = 6,678.38/x
  3. Step 3: Cross multiply
    21,469.46x = 32,204.04 × 6,678.38
  4. Step 4: Simplify right side
    21,469.46x = 215,070,816.66
  5. Step 5: Solve for x
    x = 215,070,816.66/21,469.46
  6. Step 6: Final answer
    x = 10,017.52

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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.