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Finding the Fourth Proportional to 13,613.70, 20,423.46 and 4,729.31

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Solution

The fourth proportional to 13,613.70, 20,423.46 and 4,729.31 is: 7,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.70 : 20,423.46 = 4,729.31 : x
  2. Step 2: Convert to fraction form
    13,613.70/20,423.46 = 4,729.31/x
  3. Step 3: Cross multiply
    13,613.70x = 20,423.46 × 4,729.31
  4. Step 4: Simplify right side
    13,613.70x = 96,588,771.50
  5. Step 5: Solve for x
    x = 96,588,771.50/13,613.70
  6. Step 6: Final answer
    x = 7,094.97

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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.