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Finding the Fourth Proportional to 14,446.46, 21,668.60 and 5,212.46

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Solution

The fourth proportional to 14,446.46, 21,668.60 and 5,212.46 is: 7,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.46 : 21,668.60 = 5,212.46 : x
  2. Step 2: Convert to fraction form
    14,446.46/21,668.60 = 5,212.46/x
  3. Step 3: Cross multiply
    14,446.46x = 21,668.60 × 5,212.46
  4. Step 4: Simplify right side
    14,446.46x = 112,946,615.44
  5. Step 5: Solve for x
    x = 112,946,615.44/14,446.46
  6. Step 6: Final answer
    x = 7,818.29

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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.