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Finding the Fourth Proportional to 20,299.17, 30,506.07 and 11,983.11

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Solution

The fourth proportional to 20,299.17, 30,506.07 and 11,983.11 is: 18,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.17 : 30,506.07 = 11,983.11 : x
  2. Step 2: Convert to fraction form
    20,299.17/30,506.07 = 11,983.11/x
  3. Step 3: Cross multiply
    20,299.17x = 30,506.07 × 11,983.11
  4. Step 4: Simplify right side
    20,299.17x = 365,557,592.48
  5. Step 5: Solve for x
    x = 365,557,592.48/20,299.17
  6. Step 6: Final answer
    x = 18,008.50

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Why These Related Problems?

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