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Finding the Fourth Proportional to 20,423.18, 30,638.02 and 7,100.24

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Solution

The fourth proportional to 20,423.18, 30,638.02 and 7,100.24 is: 10,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.18 : 30,638.02 = 7,100.24 : x
  2. Step 2: Convert to fraction form
    20,423.18/30,638.02 = 7,100.24/x
  3. Step 3: Cross multiply
    20,423.18x = 30,638.02 × 7,100.24
  4. Step 4: Simplify right side
    20,423.18x = 217,537,295.12
  5. Step 5: Solve for x
    x = 217,537,295.12/20,423.18
  6. Step 6: Final answer
    x = 10,651.49

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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.