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Finding the Fourth Proportional to 14,668.32, 20,241.92 and 8,380.16

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Solution

The fourth proportional to 14,668.32, 20,241.92 and 8,380.16 is: 11,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.32 : 20,241.92 = 8,380.16 : x
  2. Step 2: Convert to fraction form
    14,668.32/20,241.92 = 8,380.16/x
  3. Step 3: Cross multiply
    14,668.32x = 20,241.92 × 8,380.16
  4. Step 4: Simplify right side
    14,668.32x = 169,630,528.31
  5. Step 5: Solve for x
    x = 169,630,528.31/14,668.32
  6. Step 6: Final answer
    x = 11,564.41

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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.