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Finding the Fourth Proportional to 14,794, 20,415.62 and 8,079.63

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Solution

The fourth proportional to 14,794, 20,415.62 and 8,079.63 is: 11,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794 : 20,415.62 = 8,079.63 : x
  2. Step 2: Convert to fraction form
    14,794/20,415.62 = 8,079.63/x
  3. Step 3: Cross multiply
    14,794x = 20,415.62 × 8,079.63
  4. Step 4: Simplify right side
    14,794x = 164,950,655.82
  5. Step 5: Solve for x
    x = 164,950,655.82/14,794
  6. Step 6: Final answer
    x = 11,149.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.