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Finding the Fourth Proportional to 18,509.92, 27,767.50 and 6,025.94

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Solution

The fourth proportional to 18,509.92, 27,767.50 and 6,025.94 is: 9,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.92 : 27,767.50 = 6,025.94 : x
  2. Step 2: Convert to fraction form
    18,509.92/27,767.50 = 6,025.94/x
  3. Step 3: Cross multiply
    18,509.92x = 27,767.50 × 6,025.94
  4. Step 4: Simplify right side
    18,509.92x = 167,325,288.95
  5. Step 5: Solve for x
    x = 167,325,288.95/18,509.92
  6. Step 6: Final answer
    x = 9,039.76

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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.