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Finding the Fourth Proportional to 14,131.94, 21,197.90 and 5,809.73

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Solution

The fourth proportional to 14,131.94, 21,197.90 and 5,809.73 is: 8,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.94 : 21,197.90 = 5,809.73 : x
  2. Step 2: Convert to fraction form
    14,131.94/21,197.90 = 5,809.73/x
  3. Step 3: Cross multiply
    14,131.94x = 21,197.90 × 5,809.73
  4. Step 4: Simplify right side
    14,131.94x = 123,153,984.10
  5. Step 5: Solve for x
    x = 123,153,984.10/14,131.94
  6. Step 6: Final answer
    x = 8,714.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.