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Finding the Fourth Proportional to 14,288.80, 21,446.50 and 7,274.06

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Solution

The fourth proportional to 14,288.80, 21,446.50 and 7,274.06 is: 10,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.80 : 21,446.50 = 7,274.06 : x
  2. Step 2: Convert to fraction form
    14,288.80/21,446.50 = 7,274.06/x
  3. Step 3: Cross multiply
    14,288.80x = 21,446.50 × 7,274.06
  4. Step 4: Simplify right side
    14,288.80x = 156,003,198.41
  5. Step 5: Solve for x
    x = 156,003,198.41/14,288.80
  6. Step 6: Final answer
    x = 10,917.87

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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.