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Finding the Fourth Proportional to 14,769.50, 22,149.46 and 4,906.13

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Solution

The fourth proportional to 14,769.50, 22,149.46 and 4,906.13 is: 7,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.50 : 22,149.46 = 4,906.13 : x
  2. Step 2: Convert to fraction form
    14,769.50/22,149.46 = 4,906.13/x
  3. Step 3: Cross multiply
    14,769.50x = 22,149.46 × 4,906.13
  4. Step 4: Simplify right side
    14,769.50x = 108,668,025.58
  5. Step 5: Solve for x
    x = 108,668,025.58/14,769.50
  6. Step 6: Final answer
    x = 7,357.60

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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.