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Finding the Fourth Proportional to 16,489.74, 24,734.25 and 4,009.83

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Solution

The fourth proportional to 16,489.74, 24,734.25 and 4,009.83 is: 6,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.74 : 24,734.25 = 4,009.83 : x
  2. Step 2: Convert to fraction form
    16,489.74/24,734.25 = 4,009.83/x
  3. Step 3: Cross multiply
    16,489.74x = 24,734.25 × 4,009.83
  4. Step 4: Simplify right side
    16,489.74x = 99,180,137.68
  5. Step 5: Solve for x
    x = 99,180,137.68/16,489.74
  6. Step 6: Final answer
    x = 6,014.66

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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.