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Finding the Fourth Proportional to 20,198.13, 30,302.00 and 10,178.25

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Solution

The fourth proportional to 20,198.13, 30,302.00 and 10,178.25 is: 15,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.13 : 30,302.00 = 10,178.25 : x
  2. Step 2: Convert to fraction form
    20,198.13/30,302.00 = 10,178.25/x
  3. Step 3: Cross multiply
    20,198.13x = 30,302.00 × 10,178.25
  4. Step 4: Simplify right side
    20,198.13x = 308,421,432.41
  5. Step 5: Solve for x
    x = 308,421,432.41/20,198.13
  6. Step 6: Final answer
    x = 15,269.80

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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.