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Finding the Fourth Proportional to 20,139.42, 30,209.12 and 7,001

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Solution

The fourth proportional to 20,139.42, 30,209.12 and 7,001 is: 10,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.42 : 30,209.12 = 7,001 : x
  2. Step 2: Convert to fraction form
    20,139.42/30,209.12 = 7,001/x
  3. Step 3: Cross multiply
    20,139.42x = 30,209.12 × 7,001
  4. Step 4: Simplify right side
    20,139.42x = 211,494,049.12
  5. Step 5: Solve for x
    x = 211,494,049.12/20,139.42
  6. Step 6: Final answer
    x = 10,501.50

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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.