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Finding the Fourth Proportional to 14,711.83, 20,302.11 and 7,997.27

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Solution

The fourth proportional to 14,711.83, 20,302.11 and 7,997.27 is: 11,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.83 : 20,302.11 = 7,997.27 : x
  2. Step 2: Convert to fraction form
    14,711.83/20,302.11 = 7,997.27/x
  3. Step 3: Cross multiply
    14,711.83x = 20,302.11 × 7,997.27
  4. Step 4: Simplify right side
    14,711.83x = 162,361,353.73
  5. Step 5: Solve for x
    x = 162,361,353.73/14,711.83
  6. Step 6: Final answer
    x = 11,036.11

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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.