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Finding the Fourth Proportional to 14,660.34, 20,234.34 and 9,946.14

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Solution

The fourth proportional to 14,660.34, 20,234.34 and 9,946.14 is: 13,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.34 : 20,234.34 = 9,946.14 : x
  2. Step 2: Convert to fraction form
    14,660.34/20,234.34 = 9,946.14/x
  3. Step 3: Cross multiply
    14,660.34x = 20,234.34 × 9,946.14
  4. Step 4: Simplify right side
    14,660.34x = 201,253,578.45
  5. Step 5: Solve for x
    x = 201,253,578.45/14,660.34
  6. Step 6: Final answer
    x = 13,727.76

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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.