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Finding the Fourth Proportional to 20,609.10, 30,894.45 and 14,369.10

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Solution

The fourth proportional to 20,609.10, 30,894.45 and 14,369.10 is: 21,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.10 : 30,894.45 = 14,369.10 : x
  2. Step 2: Convert to fraction form
    20,609.10/30,894.45 = 14,369.10/x
  3. Step 3: Cross multiply
    20,609.10x = 30,894.45 × 14,369.10
  4. Step 4: Simplify right side
    20,609.10x = 443,925,441.50
  5. Step 5: Solve for x
    x = 443,925,441.50/20,609.10
  6. Step 6: Final answer
    x = 21,540.26

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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.