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Finding the Fourth Proportional to 18,505.64, 27,767.57 and 8,645.61

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Solution

The fourth proportional to 18,505.64, 27,767.57 and 8,645.61 is: 12,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.64 : 27,767.57 = 8,645.61 : x
  2. Step 2: Convert to fraction form
    18,505.64/27,767.57 = 8,645.61/x
  3. Step 3: Cross multiply
    18,505.64x = 27,767.57 × 8,645.61
  4. Step 4: Simplify right side
    18,505.64x = 240,067,580.87
  5. Step 5: Solve for x
    x = 240,067,580.87/18,505.64
  6. Step 6: Final answer
    x = 12,972.67

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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.