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Finding the Fourth Proportional to 14,849, 20,491.68 and 8,225

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Solution

The fourth proportional to 14,849, 20,491.68 and 8,225 is: 11,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849 : 20,491.68 = 8,225 : x
  2. Step 2: Convert to fraction form
    14,849/20,491.68 = 8,225/x
  3. Step 3: Cross multiply
    14,849x = 20,491.68 × 8,225
  4. Step 4: Simplify right side
    14,849x = 168,544,068
  5. Step 5: Solve for x
    x = 168,544,068/14,849
  6. Step 6: Final answer
    x = 11,350.53

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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.