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Finding the Fourth Proportional to 22,245.38, 30,700.05 and 12,813.78

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Solution

The fourth proportional to 22,245.38, 30,700.05 and 12,813.78 is: 17,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,245.38 : 30,700.05 = 12,813.78 : x
  2. Step 2: Convert to fraction form
    22,245.38/30,700.05 = 12,813.78/x
  3. Step 3: Cross multiply
    22,245.38x = 30,700.05 × 12,813.78
  4. Step 4: Simplify right side
    22,245.38x = 393,383,686.69
  5. Step 5: Solve for x
    x = 393,383,686.69/22,245.38
  6. Step 6: Final answer
    x = 17,683.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.