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Finding the Fourth Proportional to 16,489.73, 24,734.25 and 4,009.82

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Solution

The fourth proportional to 16,489.73, 24,734.25 and 4,009.82 is: 6,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.73 : 24,734.25 = 4,009.82 : x
  2. Step 2: Convert to fraction form
    16,489.73/24,734.25 = 4,009.82/x
  3. Step 3: Cross multiply
    16,489.73x = 24,734.25 × 4,009.82
  4. Step 4: Simplify right side
    16,489.73x = 99,179,890.34
  5. Step 5: Solve for x
    x = 99,179,890.34/16,489.73
  6. Step 6: Final answer
    x = 6,014.65

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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.