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Finding the Fourth Proportional to 22,794.04, 34,190.86 and 7,999.50

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Solution

The fourth proportional to 22,794.04, 34,190.86 and 7,999.50 is: 11,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.04 : 34,190.86 = 7,999.50 : x
  2. Step 2: Convert to fraction form
    22,794.04/34,190.86 = 7,999.50/x
  3. Step 3: Cross multiply
    22,794.04x = 34,190.86 × 7,999.50
  4. Step 4: Simplify right side
    22,794.04x = 273,509,784.57
  5. Step 5: Solve for x
    x = 273,509,784.57/22,794.04
  6. Step 6: Final answer
    x = 11,999.18

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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.