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Finding the Fourth Proportional to 16,494.57, 24,739.22 and 4,805.06

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Solution

The fourth proportional to 16,494.57, 24,739.22 and 4,805.06 is: 7,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.57 : 24,739.22 = 4,805.06 : x
  2. Step 2: Convert to fraction form
    16,494.57/24,739.22 = 4,805.06/x
  3. Step 3: Cross multiply
    16,494.57x = 24,739.22 × 4,805.06
  4. Step 4: Simplify right side
    16,494.57x = 118,873,324.77
  5. Step 5: Solve for x
    x = 118,873,324.77/16,494.57
  6. Step 6: Final answer
    x = 7,206.82

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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.