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Finding the Fourth Proportional to 15,613.50, 23,418.53 and 3,926.72

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Solution

The fourth proportional to 15,613.50, 23,418.53 and 3,926.72 is: 5,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.50 : 23,418.53 = 3,926.72 : x
  2. Step 2: Convert to fraction form
    15,613.50/23,418.53 = 3,926.72/x
  3. Step 3: Cross multiply
    15,613.50x = 23,418.53 × 3,926.72
  4. Step 4: Simplify right side
    15,613.50x = 91,958,049.03
  5. Step 5: Solve for x
    x = 91,958,049.03/15,613.50
  6. Step 6: Final answer
    x = 5,889.65

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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.