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Finding the Fourth Proportional to 20,011.24, 29,960.97 and 10,129.24

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Solution

The fourth proportional to 20,011.24, 29,960.97 and 10,129.24 is: 15,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011.24 : 29,960.97 = 10,129.24 : x
  2. Step 2: Convert to fraction form
    20,011.24/29,960.97 = 10,129.24/x
  3. Step 3: Cross multiply
    20,011.24x = 29,960.97 × 10,129.24
  4. Step 4: Simplify right side
    20,011.24x = 303,481,855.76
  5. Step 5: Solve for x
    x = 303,481,855.76/20,011.24
  6. Step 6: Final answer
    x = 15,165.57

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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.