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Finding the Fourth Proportional to 14,717.90, 20,311.23 and 8,431.49

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Solution

The fourth proportional to 14,717.90, 20,311.23 and 8,431.49 is: 11,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.90 : 20,311.23 = 8,431.49 : x
  2. Step 2: Convert to fraction form
    14,717.90/20,311.23 = 8,431.49/x
  3. Step 3: Cross multiply
    14,717.90x = 20,311.23 × 8,431.49
  4. Step 4: Simplify right side
    14,717.90x = 171,253,867.00
  5. Step 5: Solve for x
    x = 171,253,867.00/14,717.90
  6. Step 6: Final answer
    x = 11,635.76

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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.