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Finding the Fourth Proportional to 13,714.35, 18,919.26 and 8,932.59

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Solution

The fourth proportional to 13,714.35, 18,919.26 and 8,932.59 is: 12,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.35 : 18,919.26 = 8,932.59 : x
  2. Step 2: Convert to fraction form
    13,714.35/18,919.26 = 8,932.59/x
  3. Step 3: Cross multiply
    13,714.35x = 18,919.26 × 8,932.59
  4. Step 4: Simplify right side
    13,714.35x = 168,997,992.68
  5. Step 5: Solve for x
    x = 168,997,992.68/13,714.35
  6. Step 6: Final answer
    x = 12,322.71

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