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Finding the Fourth Proportional to 19,304.94, 28,960.86 and 6,832.20

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Solution

The fourth proportional to 19,304.94, 28,960.86 and 6,832.20 is: 10,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304.94 : 28,960.86 = 6,832.20 : x
  2. Step 2: Convert to fraction form
    19,304.94/28,960.86 = 6,832.20/x
  3. Step 3: Cross multiply
    19,304.94x = 28,960.86 × 6,832.20
  4. Step 4: Simplify right side
    19,304.94x = 197,866,387.69
  5. Step 5: Solve for x
    x = 197,866,387.69/19,304.94
  6. Step 6: Final answer
    x = 10,249.52

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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.