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Finding the Fourth Proportional to 21,849.24, 32,770.62 and 7,995

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Solution

The fourth proportional to 21,849.24, 32,770.62 and 7,995 is: 11,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.24 : 32,770.62 = 7,995 : x
  2. Step 2: Convert to fraction form
    21,849.24/32,770.62 = 7,995/x
  3. Step 3: Cross multiply
    21,849.24x = 32,770.62 × 7,995
  4. Step 4: Simplify right side
    21,849.24x = 262,001,106.90
  5. Step 5: Solve for x
    x = 262,001,106.90/21,849.24
  6. Step 6: Final answer
    x = 11,991.31

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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.