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Finding the Fourth Proportional to 13,778.16, 20,668.70 and 4,414.83

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Solution

The fourth proportional to 13,778.16, 20,668.70 and 4,414.83 is: 6,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.16 : 20,668.70 = 4,414.83 : x
  2. Step 2: Convert to fraction form
    13,778.16/20,668.70 = 4,414.83/x
  3. Step 3: Cross multiply
    13,778.16x = 20,668.70 × 4,414.83
  4. Step 4: Simplify right side
    13,778.16x = 91,248,730.35
  5. Step 5: Solve for x
    x = 91,248,730.35/13,778.16
  6. Step 6: Final answer
    x = 6,622.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.