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Finding the Fourth Proportional to 14,711.92, 20,302.46 and 7,997.56

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Solution

The fourth proportional to 14,711.92, 20,302.46 and 7,997.56 is: 11,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.92 : 20,302.46 = 7,997.56 : x
  2. Step 2: Convert to fraction form
    14,711.92/20,302.46 = 7,997.56/x
  3. Step 3: Cross multiply
    14,711.92x = 20,302.46 × 7,997.56
  4. Step 4: Simplify right side
    14,711.92x = 162,370,142.00
  5. Step 5: Solve for x
    x = 162,370,142.00/14,711.92
  6. Step 6: Final answer
    x = 11,036.64

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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.