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Finding the Fourth Proportional to 21,191.12, 31,786.68 and 7,340.24

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Solution

The fourth proportional to 21,191.12, 31,786.68 and 7,340.24 is: 11,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.12 : 31,786.68 = 7,340.24 : x
  2. Step 2: Convert to fraction form
    21,191.12/31,786.68 = 7,340.24/x
  3. Step 3: Cross multiply
    21,191.12x = 31,786.68 × 7,340.24
  4. Step 4: Simplify right side
    21,191.12x = 233,321,860.00
  5. Step 5: Solve for x
    x = 233,321,860.00/21,191.12
  6. Step 6: Final answer
    x = 11,010.36

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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.