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Finding the Fourth Proportional to 14,711.72, 20,302.41 and 7,997.36

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Solution

The fourth proportional to 14,711.72, 20,302.41 and 7,997.36 is: 11,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.72 : 20,302.41 = 7,997.36 : x
  2. Step 2: Convert to fraction form
    14,711.72/20,302.41 = 7,997.36/x
  3. Step 3: Cross multiply
    14,711.72x = 20,302.41 × 7,997.36
  4. Step 4: Simplify right side
    14,711.72x = 162,365,540.14
  5. Step 5: Solve for x
    x = 162,365,540.14/14,711.72
  6. Step 6: Final answer
    x = 11,036.48

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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.