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Finding the Fourth Proportional to 13,966.43, 20,946.98 and 7,295.73

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Solution

The fourth proportional to 13,966.43, 20,946.98 and 7,295.73 is: 10,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.43 : 20,946.98 = 7,295.73 : x
  2. Step 2: Convert to fraction form
    13,966.43/20,946.98 = 7,295.73/x
  3. Step 3: Cross multiply
    13,966.43x = 20,946.98 × 7,295.73
  4. Step 4: Simplify right side
    13,966.43x = 152,823,473.92
  5. Step 5: Solve for x
    x = 152,823,473.92/13,966.43
  6. Step 6: Final answer
    x = 10,942.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.