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Finding the Fourth Proportional to 14,711.83, 20,301.74 and 7,997.31

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Solution

The fourth proportional to 14,711.83, 20,301.74 and 7,997.31 is: 11,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.83 : 20,301.74 = 7,997.31 : x
  2. Step 2: Convert to fraction form
    14,711.83/20,301.74 = 7,997.31/x
  3. Step 3: Cross multiply
    14,711.83x = 20,301.74 × 7,997.31
  4. Step 4: Simplify right side
    14,711.83x = 162,359,241.22
  5. Step 5: Solve for x
    x = 162,359,241.22/14,711.83
  6. Step 6: Final answer
    x = 11,035.97

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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.