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Finding the Fourth Proportional to 19,825.77, 29,735.80 and 5,782.03

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Solution

The fourth proportional to 19,825.77, 29,735.80 and 5,782.03 is: 8,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.77 : 29,735.80 = 5,782.03 : x
  2. Step 2: Convert to fraction form
    19,825.77/29,735.80 = 5,782.03/x
  3. Step 3: Cross multiply
    19,825.77x = 29,735.80 × 5,782.03
  4. Step 4: Simplify right side
    19,825.77x = 171,933,287.67
  5. Step 5: Solve for x
    x = 171,933,287.67/19,825.77
  6. Step 6: Final answer
    x = 8,672.21

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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.