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Finding the Fourth Proportional to 14,767.38, 20,379.36 and 9,105.86

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Solution

The fourth proportional to 14,767.38, 20,379.36 and 9,105.86 is: 12,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.38 : 20,379.36 = 9,105.86 : x
  2. Step 2: Convert to fraction form
    14,767.38/20,379.36 = 9,105.86/x
  3. Step 3: Cross multiply
    14,767.38x = 20,379.36 × 9,105.86
  4. Step 4: Simplify right side
    14,767.38x = 185,571,599.05
  5. Step 5: Solve for x
    x = 185,571,599.05/14,767.38
  6. Step 6: Final answer
    x = 12,566.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.