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Finding the Fourth Proportional to 24,917.46, 34,385.97 and 13,739.46

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Solution

The fourth proportional to 24,917.46, 34,385.97 and 13,739.46 is: 18,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,917.46 : 34,385.97 = 13,739.46 : x
  2. Step 2: Convert to fraction form
    24,917.46/34,385.97 = 13,739.46/x
  3. Step 3: Cross multiply
    24,917.46x = 34,385.97 × 13,739.46
  4. Step 4: Simplify right side
    24,917.46x = 472,444,659.38
  5. Step 5: Solve for x
    x = 472,444,659.38/24,917.46
  6. Step 6: Final answer
    x = 18,960.39

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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.