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Finding the Fourth Proportional to 12,960.56, 19,422.42 and 5,923.28

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Solution

The fourth proportional to 12,960.56, 19,422.42 and 5,923.28 is: 8,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.56 : 19,422.42 = 5,923.28 : x
  2. Step 2: Convert to fraction form
    12,960.56/19,422.42 = 5,923.28/x
  3. Step 3: Cross multiply
    12,960.56x = 19,422.42 × 5,923.28
  4. Step 4: Simplify right side
    12,960.56x = 115,044,431.94
  5. Step 5: Solve for x
    x = 115,044,431.94/12,960.56
  6. Step 6: Final answer
    x = 8,876.50

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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.