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Finding the Fourth Proportional to 23,141.39, 34,727.67 and 9,995.09

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Solution

The fourth proportional to 23,141.39, 34,727.67 and 9,995.09 is: 14,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.39 : 34,727.67 = 9,995.09 : x
  2. Step 2: Convert to fraction form
    23,141.39/34,727.67 = 9,995.09/x
  3. Step 3: Cross multiply
    23,141.39x = 34,727.67 × 9,995.09
  4. Step 4: Simplify right side
    23,141.39x = 347,106,013.50
  5. Step 5: Solve for x
    x = 347,106,013.50/23,141.39
  6. Step 6: Final answer
    x = 14,999.36

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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.