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Finding the Fourth Proportional to 21,192.99, 31,782.87 and 7,338.75

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Solution

The fourth proportional to 21,192.99, 31,782.87 and 7,338.75 is: 11,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.99 : 31,782.87 = 7,338.75 : x
  2. Step 2: Convert to fraction form
    21,192.99/31,782.87 = 7,338.75/x
  3. Step 3: Cross multiply
    21,192.99x = 31,782.87 × 7,338.75
  4. Step 4: Simplify right side
    21,192.99x = 233,246,537.21
  5. Step 5: Solve for x
    x = 233,246,537.21/21,192.99
  6. Step 6: Final answer
    x = 11,005.83

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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.