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Finding the Fourth Proportional to 21,850.50, 32,775.84 and 7,999.50

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Solution

The fourth proportional to 21,850.50, 32,775.84 and 7,999.50 is: 11,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850.50 : 32,775.84 = 7,999.50 : x
  2. Step 2: Convert to fraction form
    21,850.50/32,775.84 = 7,999.50/x
  3. Step 3: Cross multiply
    21,850.50x = 32,775.84 × 7,999.50
  4. Step 4: Simplify right side
    21,850.50x = 262,190,332.08
  5. Step 5: Solve for x
    x = 262,190,332.08/21,850.50
  6. Step 6: Final answer
    x = 11,999.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.