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Finding the Fourth Proportional to 18,448.13, 27,674.89 and 5,964

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Solution

The fourth proportional to 18,448.13, 27,674.89 and 5,964 is: 8,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,448.13 : 27,674.89 = 5,964 : x
  2. Step 2: Convert to fraction form
    18,448.13/27,674.89 = 5,964/x
  3. Step 3: Cross multiply
    18,448.13x = 27,674.89 × 5,964
  4. Step 4: Simplify right side
    18,448.13x = 165,053,029.05
  5. Step 5: Solve for x
    x = 165,053,029.05/18,448.13
  6. Step 6: Final answer
    x = 8,946.87

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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.