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Finding the Fourth Proportional to 14,310.62, 21,472.11 and 7,741.43

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Solution

The fourth proportional to 14,310.62, 21,472.11 and 7,741.43 is: 11,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.62 : 21,472.11 = 7,741.43 : x
  2. Step 2: Convert to fraction form
    14,310.62/21,472.11 = 7,741.43/x
  3. Step 3: Cross multiply
    14,310.62x = 21,472.11 × 7,741.43
  4. Step 4: Simplify right side
    14,310.62x = 166,224,836.52
  5. Step 5: Solve for x
    x = 166,224,836.52/14,310.62
  6. Step 6: Final answer
    x = 11,615.49

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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.