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Finding the Fourth Proportional to 16,494.13, 24,739.22 and 4,648.79

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Solution

The fourth proportional to 16,494.13, 24,739.22 and 4,648.79 is: 6,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.13 : 24,739.22 = 4,648.79 : x
  2. Step 2: Convert to fraction form
    16,494.13/24,739.22 = 4,648.79/x
  3. Step 3: Cross multiply
    16,494.13x = 24,739.22 × 4,648.79
  4. Step 4: Simplify right side
    16,494.13x = 115,007,415.30
  5. Step 5: Solve for x
    x = 115,007,415.30/16,494.13
  6. Step 6: Final answer
    x = 6,972.63

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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.