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Finding the Fourth Proportional to 14,834.43, 20,470.64 and 8,120.19

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Solution

The fourth proportional to 14,834.43, 20,470.64 and 8,120.19 is: 11,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.43 : 20,470.64 = 8,120.19 : x
  2. Step 2: Convert to fraction form
    14,834.43/20,470.64 = 8,120.19/x
  3. Step 3: Cross multiply
    14,834.43x = 20,470.64 × 8,120.19
  4. Step 4: Simplify right side
    14,834.43x = 166,225,445.62
  5. Step 5: Solve for x
    x = 166,225,445.62/14,834.43
  6. Step 6: Final answer
    x = 11,205.38

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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.