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Finding the Fourth Proportional to 21,704.50, 32,556.75 and 5,288.50

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Solution

The fourth proportional to 21,704.50, 32,556.75 and 5,288.50 is: 7,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.50 : 32,556.75 = 5,288.50 : x
  2. Step 2: Convert to fraction form
    21,704.50/32,556.75 = 5,288.50/x
  3. Step 3: Cross multiply
    21,704.50x = 32,556.75 × 5,288.50
  4. Step 4: Simplify right side
    21,704.50x = 172,176,372.38
  5. Step 5: Solve for x
    x = 172,176,372.38/21,704.50
  6. Step 6: Final answer
    x = 7,932.75

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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.