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Finding the Fourth Proportional to 20,183.84, 30,248.12 and 10,302.40

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Solution

The fourth proportional to 20,183.84, 30,248.12 and 10,302.40 is: 15,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183.84 : 30,248.12 = 10,302.40 : x
  2. Step 2: Convert to fraction form
    20,183.84/30,248.12 = 10,302.40/x
  3. Step 3: Cross multiply
    20,183.84x = 30,248.12 × 10,302.40
  4. Step 4: Simplify right side
    20,183.84x = 311,628,231.49
  5. Step 5: Solve for x
    x = 311,628,231.49/20,183.84
  6. Step 6: Final answer
    x = 15,439.49

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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.