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Finding the Fourth Proportional to 18,664, 27,995.83 and 7,568.05

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Solution

The fourth proportional to 18,664, 27,995.83 and 7,568.05 is: 11,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 27,995.83 = 7,568.05 : x
  2. Step 2: Convert to fraction form
    18,664/27,995.83 = 7,568.05/x
  3. Step 3: Cross multiply
    18,664x = 27,995.83 × 7,568.05
  4. Step 4: Simplify right side
    18,664x = 211,873,841.23
  5. Step 5: Solve for x
    x = 211,873,841.23/18,664
  6. Step 6: Final answer
    x = 11,352.01

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Why These Related Problems?

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