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Finding the Fourth Proportional to 22,796.88, 34,182.54 and 7,999.98

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Solution

The fourth proportional to 22,796.88, 34,182.54 and 7,999.98 is: 11,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.88 : 34,182.54 = 7,999.98 : x
  2. Step 2: Convert to fraction form
    22,796.88/34,182.54 = 7,999.98/x
  3. Step 3: Cross multiply
    22,796.88x = 34,182.54 × 7,999.98
  4. Step 4: Simplify right side
    22,796.88x = 273,459,636.35
  5. Step 5: Solve for x
    x = 273,459,636.35/22,796.88
  6. Step 6: Final answer
    x = 11,995.49

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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.