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Finding the Fourth Proportional to 17,951.94, 24,772.44 and 11,237.28

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Solution

The fourth proportional to 17,951.94, 24,772.44 and 11,237.28 is: 15,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,951.94 : 24,772.44 = 11,237.28 : x
  2. Step 2: Convert to fraction form
    17,951.94/24,772.44 = 11,237.28/x
  3. Step 3: Cross multiply
    17,951.94x = 24,772.44 × 11,237.28
  4. Step 4: Simplify right side
    17,951.94x = 278,374,844.56
  5. Step 5: Solve for x
    x = 278,374,844.56/17,951.94
  6. Step 6: Final answer
    x = 15,506.67

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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.