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Finding the Fourth Proportional to 20,233.92, 30,350.88 and 6,384

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Solution

The fourth proportional to 20,233.92, 30,350.88 and 6,384 is: 9,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.92 : 30,350.88 = 6,384 : x
  2. Step 2: Convert to fraction form
    20,233.92/30,350.88 = 6,384/x
  3. Step 3: Cross multiply
    20,233.92x = 30,350.88 × 6,384
  4. Step 4: Simplify right side
    20,233.92x = 193,760,017.92
  5. Step 5: Solve for x
    x = 193,760,017.92/20,233.92
  6. Step 6: Final answer
    x = 9,576.00

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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.