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Finding the Fourth Proportional to 16,537.80, 22,814.55 and 14,651.31

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Solution

The fourth proportional to 16,537.80, 22,814.55 and 14,651.31 is: 20,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.80 : 22,814.55 = 14,651.31 : x
  2. Step 2: Convert to fraction form
    16,537.80/22,814.55 = 14,651.31/x
  3. Step 3: Cross multiply
    16,537.80x = 22,814.55 × 14,651.31
  4. Step 4: Simplify right side
    16,537.80x = 334,263,044.56
  5. Step 5: Solve for x
    x = 334,263,044.56/16,537.80
  6. Step 6: Final answer
    x = 20,212.06

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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.