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Finding the Fourth Proportional to 21,745.99, 32,614.89 and 7,705.45

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Solution

The fourth proportional to 21,745.99, 32,614.89 and 7,705.45 is: 11,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.99 : 32,614.89 = 7,705.45 : x
  2. Step 2: Convert to fraction form
    21,745.99/32,614.89 = 7,705.45/x
  3. Step 3: Cross multiply
    21,745.99x = 32,614.89 × 7,705.45
  4. Step 4: Simplify right side
    21,745.99x = 251,312,540.26
  5. Step 5: Solve for x
    x = 251,312,540.26/21,745.99
  6. Step 6: Final answer
    x = 11,556.73

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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.