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Finding the Fourth Proportional to 16,453.80, 22,714.74 and 11,426.76

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Solution

The fourth proportional to 16,453.80, 22,714.74 and 11,426.76 is: 15,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.80 : 22,714.74 = 11,426.76 : x
  2. Step 2: Convert to fraction form
    16,453.80/22,714.74 = 11,426.76/x
  3. Step 3: Cross multiply
    16,453.80x = 22,714.74 × 11,426.76
  4. Step 4: Simplify right side
    16,453.80x = 259,555,882.44
  5. Step 5: Solve for x
    x = 259,555,882.44/16,453.80
  6. Step 6: Final answer
    x = 15,774.83

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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.