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Finding the Fourth Proportional to 20,176.49, 30,264.87 and 7,029.11

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Solution

The fourth proportional to 20,176.49, 30,264.87 and 7,029.11 is: 10,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.49 : 30,264.87 = 7,029.11 : x
  2. Step 2: Convert to fraction form
    20,176.49/30,264.87 = 7,029.11/x
  3. Step 3: Cross multiply
    20,176.49x = 30,264.87 × 7,029.11
  4. Step 4: Simplify right side
    20,176.49x = 212,735,100.37
  5. Step 5: Solve for x
    x = 212,735,100.37/20,176.49
  6. Step 6: Final answer
    x = 10,543.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.