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Finding the Fourth Proportional to 13,682.06, 18,879.80 and 7,714.64

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Solution

The fourth proportional to 13,682.06, 18,879.80 and 7,714.64 is: 10,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.06 : 18,879.80 = 7,714.64 : x
  2. Step 2: Convert to fraction form
    13,682.06/18,879.80 = 7,714.64/x
  3. Step 3: Cross multiply
    13,682.06x = 18,879.80 × 7,714.64
  4. Step 4: Simplify right side
    13,682.06x = 145,650,860.27
  5. Step 5: Solve for x
    x = 145,650,860.27/13,682.06
  6. Step 6: Final answer
    x = 10,645.39

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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.