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Finding the Fourth Proportional to 21,029.27, 31,539.04 and 6,234.62

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Solution

The fourth proportional to 21,029.27, 31,539.04 and 6,234.62 is: 9,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.27 : 31,539.04 = 6,234.62 : x
  2. Step 2: Convert to fraction form
    21,029.27/31,539.04 = 6,234.62/x
  3. Step 3: Cross multiply
    21,029.27x = 31,539.04 × 6,234.62
  4. Step 4: Simplify right side
    21,029.27x = 196,633,992.83
  5. Step 5: Solve for x
    x = 196,633,992.83/21,029.27
  6. Step 6: Final answer
    x = 9,350.49

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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.