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Finding the Fourth Proportional to 17,905.44, 24,702.84 and 11,096.38

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Solution

The fourth proportional to 17,905.44, 24,702.84 and 11,096.38 is: 15,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.44 : 24,702.84 = 11,096.38 : x
  2. Step 2: Convert to fraction form
    17,905.44/24,702.84 = 11,096.38/x
  3. Step 3: Cross multiply
    17,905.44x = 24,702.84 × 11,096.38
  4. Step 4: Simplify right side
    17,905.44x = 274,112,099.72
  5. Step 5: Solve for x
    x = 274,112,099.72/17,905.44
  6. Step 6: Final answer
    x = 15,308.87

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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.