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Finding the Fourth Proportional to 20,178.30, 30,262.05 and 7,029.30

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Solution

The fourth proportional to 20,178.30, 30,262.05 and 7,029.30 is: 10,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.30 : 30,262.05 = 7,029.30 : x
  2. Step 2: Convert to fraction form
    20,178.30/30,262.05 = 7,029.30/x
  3. Step 3: Cross multiply
    20,178.30x = 30,262.05 × 7,029.30
  4. Step 4: Simplify right side
    20,178.30x = 212,721,028.07
  5. Step 5: Solve for x
    x = 212,721,028.07/20,178.30
  6. Step 6: Final answer
    x = 10,542.07

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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.