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Finding the Fourth Proportional to 14,805.41, 20,431.17 and 8,090.87

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Solution

The fourth proportional to 14,805.41, 20,431.17 and 8,090.87 is: 11,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.41 : 20,431.17 = 8,090.87 : x
  2. Step 2: Convert to fraction form
    14,805.41/20,431.17 = 8,090.87/x
  3. Step 3: Cross multiply
    14,805.41x = 20,431.17 × 8,090.87
  4. Step 4: Simplify right side
    14,805.41x = 165,305,838.26
  5. Step 5: Solve for x
    x = 165,305,838.26/14,805.41
  6. Step 6: Final answer
    x = 11,165.24

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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.