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Finding the Fourth Proportional to 20,173.30, 30,262.65 and 7,029.70

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Solution

The fourth proportional to 20,173.30, 30,262.65 and 7,029.70 is: 10,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.30 : 30,262.65 = 7,029.70 : x
  2. Step 2: Convert to fraction form
    20,173.30/30,262.65 = 7,029.70/x
  3. Step 3: Cross multiply
    20,173.30x = 30,262.65 × 7,029.70
  4. Step 4: Simplify right side
    20,173.30x = 212,737,350.71
  5. Step 5: Solve for x
    x = 212,737,350.71/20,173.30
  6. Step 6: Final answer
    x = 10,545.49

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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.