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Finding the Fourth Proportional to 20,000.34, 30,019.34 and 10,146.69

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Solution

The fourth proportional to 20,000.34, 30,019.34 and 10,146.69 is: 15,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.34 : 30,019.34 = 10,146.69 : x
  2. Step 2: Convert to fraction form
    20,000.34/30,019.34 = 10,146.69/x
  3. Step 3: Cross multiply
    20,000.34x = 30,019.34 × 10,146.69
  4. Step 4: Simplify right side
    20,000.34x = 304,596,736.15
  5. Step 5: Solve for x
    x = 304,596,736.15/20,000.34
  6. Step 6: Final answer
    x = 15,229.58

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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.