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Finding the Fourth Proportional to 13,592.24, 18,758.38 and 7,928.72

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Solution

The fourth proportional to 13,592.24, 18,758.38 and 7,928.72 is: 10,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.24 : 18,758.38 = 7,928.72 : x
  2. Step 2: Convert to fraction form
    13,592.24/18,758.38 = 7,928.72/x
  3. Step 3: Cross multiply
    13,592.24x = 18,758.38 × 7,928.72
  4. Step 4: Simplify right side
    13,592.24x = 148,729,942.67
  5. Step 5: Solve for x
    x = 148,729,942.67/13,592.24
  6. Step 6: Final answer
    x = 10,942.27

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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.