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Finding the Fourth Proportional to 19,864.36, 29,800.86 and 6,013

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Solution

The fourth proportional to 19,864.36, 29,800.86 and 6,013 is: 9,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.36 : 29,800.86 = 6,013 : x
  2. Step 2: Convert to fraction form
    19,864.36/29,800.86 = 6,013/x
  3. Step 3: Cross multiply
    19,864.36x = 29,800.86 × 6,013
  4. Step 4: Simplify right side
    19,864.36x = 179,192,571.18
  5. Step 5: Solve for x
    x = 179,192,571.18/19,864.36
  6. Step 6: Final answer
    x = 9,020.81

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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.