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Finding the Fourth Proportional to 14,562.72, 21,851.76 and 6,769.44

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Solution

The fourth proportional to 14,562.72, 21,851.76 and 6,769.44 is: 10,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.72 : 21,851.76 = 6,769.44 : x
  2. Step 2: Convert to fraction form
    14,562.72/21,851.76 = 6,769.44/x
  3. Step 3: Cross multiply
    14,562.72x = 21,851.76 × 6,769.44
  4. Step 4: Simplify right side
    14,562.72x = 147,924,178.21
  5. Step 5: Solve for x
    x = 147,924,178.21/14,562.72
  6. Step 6: Final answer
    x = 10,157.73

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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.